Analysis of biodiversity data
Setup
SAD curves
We can obtain the Species Abundance Distribution for our samples To
use the library {sads}, and the example data on moth
abundance.
data(moths)
moths## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [31] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
## [46] 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [61] 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4
## [76] 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6
## [91] 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8
## [106] 8 8 9 9 9 9 10 10 10 10 11 11 12 12 13
## [121] 13 13 13 13 14 14 15 15 15 15 16 16 16 17 17
## [136] 17 18 18 18 19 19 19 20 20 20 20 21 22 22 22
## [151] 23 23 23 24 25 25 25 26 27 28 28 28 29 29 32
## [166] 34 34 36 36 36 37 37 43 43 44 44 45 49 49 49
## [181] 51 51 51 51 52 53 54 54 57 58 58 60 60 60 61
## [196] 64 67 73 76 76 78 84 89 96 99 109 112 120 122 129
## [211] 135 141 148 149 151 154 177 181 187 190 199 211 221 226 235
## [226] 239 244 246 282 305 306 333 464 560 572 589 604 743 823 2349
?mothsPreston plot
First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.
moths.oc <- octav(moths)
moths.oc## octave upper Freq
## 1 0 1 35
## 2 1 2 11
## 3 2 4 29
## 4 3 8 32
## 5 4 16 26
## 6 5 32 32
## 7 6 64 31
## 8 7 128 13
## 9 8 256 19
## 10 9 512 5
## 11 10 1024 6
## 12 11 2048 0
## 13 12 4096 1
## 14 13 8192 0
plot(moths.oc)Whittaker diagram
We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram
# for the moths data
moths.rad <- rad(moths)
plot(moths.rad, ylab="Number of individuals")Species Abundance Distributions: fitting curves
We are going to fit some curves to the rank abundance plot
# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution
# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)
# Plot the curves
plot(moths.ln.rad)plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
type = "l", col = "green", lty = 1, lwd = 6)# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))## looking at the fits
logLik(moths.ge)## 'log Lik.' -1240.137 (df=1)
logLik(moths.ls)## 'log Lik.' -1087.713 (df=1)
logLik(moths.ln)## 'log Lik.' -1097.723 (df=2)
Alpha diversity
Shannon index
Let us calculate Shannon index using example data from the power point
birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
'GreatTit'),
Abundance = rep(9, 4))
birds1## Species Abundance
## 1 BlueTit 9
## 2 Robin 9
## 3 Magpie 9
## 4 GreatTit 9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)
pi <- birds1$Abundance/N
lnpi <- log(pi)
H <- -sum(pi*lnpi)
H## [1] 1.386294
Community structure: {vegan} package
vegdist() function allows calculating multiple community dissimilarity indices.
# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose## BlueTit Robin Magpie GreatTit
## 1 9 9 9 9
# Get diversity value
?diversity
H_vegan <- diversity(birds1.transpose, index = "shannon")
H_vegan## [1] 1.386294
Properties of Diversity indices
Shannon diversity vs Hill numbers
If we have two communities with no species in common, the diversity of both togheter should be the sum of the diversities of each one
# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
Abundance = c(4,5,20))
birds2 ## Species Abundance
## 1 Sparrow 4
## 2 Dove 5
## 3 Crow 20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose## Sparrow Dove Crow
## 1 4 5 20
# Both communities in the same table
# transpose data and get sums
birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both## Species Abundance.x Abundance.y
## 1 BlueTit 9 0
## 2 Crow 0 20
## 3 Dove 0 5
## 4 GreatTit 9 0
## 5 Magpie 9 0
## 6 Robin 9 0
## 7 Sparrow 0 4
birds.all <- rowSums(birds.both[,2:3])
birds.all## [1] 9 20 5 9 9 9 4
both.trans <- as.data.frame(t(birds.both[, -1]))
colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans## BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1 9 0 0 9 9 9 0
## birds2 0 20 5 0 0 0 4
all.trans <- colSums(both.trans)
# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")
H1## birds1 birds2
## 1.3862944 0.8325713
H2## [1] 1.826586
# Hill number order 1 (library iNEXT)
HN1.birds1 <- iNEXT(birds1$Abundance)
HN1.birds1$AsyEst## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 4 4.000000 0.0000000 4.000000 4.000000
## Shannon diversity 4 4.174206 0.1384683 3.902814 4.445599
## Simpson diversity 4 4.375000 0.2592758 3.866829 4.883171
HN1.birds2 <- iNEXT(birds2$Abundance)
HN1.birds2$AsyEst## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 3.000000 3.000000 0.1574869 2.691331 3.308669
## Shannon diversity 2.299223 2.383059 0.2975954 1.799783 2.966335
## Simpson diversity 1.907029 1.970874 0.3433822 1.297857 2.643891
HN1.birdsboth <- iNEXT(birds.all)
HN1.birdsboth$AsyEst## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 7.000000 7.000000 0.1493947 6.707192 7.292808
## Shannon diversity 6.212639 6.513826 0.4162815 5.697930 7.329723
## Simpson diversity 5.522876 5.942857 0.6816325 4.606882 7.278832
Hill Numbers
Get the Hill Number with q = 0 (Species richness)
Load data from the library about spider samples in two locations
data(spider)
str(spider)## List of 2
## $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
## $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
example1 <- iNEXT(spider, q = 0, datatype = "abundance")
example1$DataInfo## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 Girdled 168 26 0.9289 12 4 0 1 0 2 0 1 1 0
## 2 Logged 252 37 0.9446 14 4 4 3 1 0 3 2 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 10 Rarefaction 0 6.478617 6.039687 6.917547 0.5969308
## 3 Girdled 19 Rarefaction 0 9.450323 8.602694 10.297951 0.7380651
## 4 Girdled 28 Rarefaction 0 11.514220 10.298221 12.730218 0.8034337
## 5 Girdled 37 Rarefaction 0 13.126817 11.573437 14.680198 0.8389628
## 6 Girdled 47 Rarefaction 0 14.622424 12.726685 16.518163 0.8623491
## 7 Girdled 56 Rarefaction 0 15.802849 13.623401 17.982296 0.8760357
## 8 Girdled 65 Rarefaction 0 16.877170 14.432819 19.321520 0.8858194
## 9 Girdled 74 Rarefaction 0 17.873934 15.180140 20.567729 0.8931774
## 10 Girdled 84 Rarefaction 0 18.912360 15.956480 21.868239 0.8995141
## 11 Girdled 93 Rarefaction 0 19.797701 16.617478 22.977923 0.9041168
## 12 Girdled 102 Rarefaction 0 20.644613 17.249496 24.039729 0.9080200
## 13 Girdled 111 Rarefaction 0 21.458439 17.856694 25.060183 0.9114464
## 14 Girdled 120 Rarefaction 0 22.242813 18.441618 26.044009 0.9145496
## 15 Girdled 130 Rarefaction 0 23.082755 19.067063 27.098446 0.9177469
## 16 Girdled 139 Rarefaction 0 23.812028 19.608490 28.015565 0.9204781
## 17 Girdled 148 Rarefaction 0 24.517097 20.129459 28.904735 0.9231226
## 18 Girdled 157 Rarefaction 0 25.198592 20.629421 29.767763 0.9257162
## 19 Girdled 167 Rarefaction 0 25.928571 21.159253 30.697890 0.9285714
## 20 Girdled 168 Observed 0 26.000000 21.210696 30.789304 0.9288554
## 21 Girdled 169 Extrapolation 0 26.071145 21.261855 30.880434 0.9291383
## 22 Girdled 177 Extrapolation 0 26.630211 21.660857 31.599565 0.9313612
## 23 Girdled 186 Extrapolation 0 27.238226 22.087902 32.388549 0.9337788
## 24 Girdled 195 Extrapolation 0 27.824825 22.491883 33.157767 0.9361112
## 25 Girdled 204 Extrapolation 0 28.390763 22.872957 33.908569 0.9383615
## 26 Girdled 212 Extrapolation 0 28.877064 23.192669 34.561458 0.9402951
## 27 Girdled 221 Extrapolation 0 29.405941 23.531264 35.280617 0.9423979
## 28 Girdled 230 Extrapolation 0 29.916190 23.847959 35.984421 0.9444268
## 29 Girdled 239 Extrapolation 0 30.408468 24.143261 36.673674 0.9463841
## 30 Girdled 248 Extrapolation 0 30.883406 24.417740 37.349073 0.9482726
## 31 Girdled 256 Extrapolation 0 31.291513 24.644742 37.938284 0.9498953
## 32 Girdled 265 Extrapolation 0 31.735349 24.881616 38.589083 0.9516600
## 33 Girdled 274 Extrapolation 0 32.163554 25.099560 39.227547 0.9533626
## 34 Girdled 283 Extrapolation 0 32.576676 25.299282 39.854071 0.9550052
## 35 Girdled 292 Extrapolation 0 32.975248 25.481497 40.468998 0.9565900
## 36 Girdled 300 Extrapolation 0 33.317733 25.629354 41.006111 0.9579518
## 37 Girdled 309 Extrapolation 0 33.690203 25.780471 41.599936 0.9594328
## 38 Girdled 318 Extrapolation 0 34.049555 25.916157 42.182953 0.9608616
## 39 Girdled 327 Extrapolation 0 34.396250 26.037114 42.755386 0.9622401
## 40 Girdled 336 Extrapolation 0 34.730733 26.144027 43.317440 0.9635701
## 41 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 14 Rarefaction 0 8.353329 7.740212 8.966446 0.5883461
## 43 Logged 28 Rarefaction 0 13.222439 12.138154 14.306724 0.7118410
## 44 Logged 42 Rarefaction 0 16.765525 15.277338 18.253713 0.7809656
## 45 Logged 56 Rarefaction 0 19.532844 17.681773 21.383916 0.8236635
## 46 Logged 70 Rarefaction 0 21.804004 19.617438 23.990570 0.8521804
## 47 Logged 84 Rarefaction 0 23.734513 21.231455 26.237571 0.8724155
## 48 Logged 98 Rarefaction 0 25.418159 22.611871 28.224447 0.8874459
## 49 Logged 112 Rarefaction 0 26.915447 23.815466 30.015427 0.8990090
## 50 Logged 126 Rarefaction 0 28.267510 24.881317 31.653703 0.9081562
## 51 Logged 139 Rarefaction 0 29.418556 25.772524 33.064588 0.9150769
## 52 Logged 153 Rarefaction 0 30.565961 26.646309 34.485612 0.9212585
## 53 Logged 167 Rarefaction 0 31.633749 27.447009 35.820489 0.9264196
## 54 Logged 181 Rarefaction 0 32.634744 28.187551 37.081936 0.9307716
## 55 Logged 195 Rarefaction 0 33.579251 28.878180 38.280321 0.9344627
## 56 Logged 209 Rarefaction 0 34.475787 29.527102 39.424471 0.9376004
## 57 Logged 223 Rarefaction 0 35.331544 30.140912 40.522175 0.9402668
## 58 Logged 237 Rarefaction 0 36.152671 30.724879 41.580462 0.9425289
## 59 Logged 251 Rarefaction 0 36.944444 31.283129 42.605760 0.9444444
## 60 Logged 252 Observed 0 37.000000 31.322108 42.677892 0.9445706
## 61 Logged 253 Extrapolation 0 37.055429 31.360971 42.749888 0.9446965
## 62 Logged 266 Extrapolation 0 37.764657 31.855428 43.673887 0.9463075
## 63 Logged 279 Extrapolation 0 38.453226 32.329179 44.577272 0.9478715
## 64 Logged 292 Extrapolation 0 39.121736 32.781425 45.462048 0.9493900
## 65 Logged 305 Extrapolation 0 39.770774 33.211658 46.329890 0.9508643
## 66 Logged 319 Extrapolation 0 40.448609 33.650094 47.247124 0.9524039
## 67 Logged 332 Extrapolation 0 41.058995 34.034099 48.083891 0.9537904
## 68 Logged 345 Extrapolation 0 41.651601 34.396051 48.907151 0.9551365
## 69 Logged 358 Extrapolation 0 42.226944 34.736312 49.717576 0.9564433
## 70 Logged 371 Extrapolation 0 42.785528 35.055377 50.515680 0.9577121
## 71 Logged 385 Extrapolation 0 43.368897 35.375956 51.361837 0.9590372
## 72 Logged 398 Extrapolation 0 43.894216 35.652964 52.135468 0.9602304
## 73 Logged 411 Extrapolation 0 44.404233 35.910797 52.897669 0.9613889
## 74 Logged 424 Extrapolation 0 44.899393 36.150203 53.648584 0.9625136
## 75 Logged 437 Extrapolation 0 45.380130 36.371946 54.388314 0.9636056
## 76 Logged 451 Extrapolation 0 45.882197 36.591874 55.172520 0.9647460
## 77 Logged 464 Extrapolation 0 46.334305 36.779379 55.889231 0.9657729
## 78 Logged 477 Extrapolation 0 46.773243 36.951557 56.594929 0.9667699
## 79 Logged 490 Extrapolation 0 47.199395 37.109140 57.289650 0.9677379
## 80 Logged 504 Extrapolation 0 47.644456 37.263334 58.025578 0.9687488
## SC.LCL SC.UCL
## 1 0.09486019 0.1497934
## 2 0.54514280 0.6487189
## 3 0.69141955 0.7847107
## 4 0.76112415 0.8457433
## 5 0.80036396 0.8775617
## 6 0.82693449 0.8977638
## 7 0.84274865 0.9093228
## 8 0.85412240 0.9175163
## 9 0.86267920 0.9236757
## 10 0.87002318 0.9290049
## 11 0.87531910 0.9329144
## 12 0.87975551 0.9362844
## 13 0.88357481 0.9393180
## 14 0.88693895 0.9421603
## 15 0.89027497 0.9452189
## 16 0.89299700 0.9479592
## 17 0.89550827 0.9507369
## 18 0.89784849 0.9535840
## 19 0.90028669 0.9568562
## 20 0.90052217 0.9571887
## 21 0.90075598 0.9575207
## 22 0.90257216 0.9601503
## 23 0.90451769 0.9630399
## 24 0.90638179 0.9658406
## 25 0.90818150 0.9685414
## 26 0.90973737 0.9708527
## 27 0.91144671 0.9733492
## 28 0.91311901 0.9757345
## 29 0.91475898 0.9780093
## 30 0.91636987 0.9801753
## 31 0.91777916 0.9820113
## 32 0.91934049 0.9839795
## 33 0.92087715 0.9858481
## 34 0.92238967 0.9876208
## 35 0.92387828 0.9893018
## 36 0.92518147 0.9907221
## 37 0.92662497 0.9922406
## 38 0.92804445 0.9936788
## 39 0.92943974 0.9950405
## 40 0.93081068 0.9963295
## 41 0.10853339 0.1804693
## 42 0.54772805 0.6289641
## 43 0.67687803 0.7468040
## 44 0.74904174 0.8128894
## 45 0.79380575 0.8535212
## 46 0.82389267 0.8804681
## 47 0.84530901 0.8995221
## 48 0.86123262 0.9136591
## 49 0.87351088 0.9245070
## 50 0.88327596 0.9330364
## 51 0.89071876 0.9394351
## 52 0.89741351 0.9451035
## 53 0.90302262 0.9498166
## 54 0.90773234 0.9538109
## 55 0.91166377 0.9572617
## 56 0.91490097 0.9602999
## 57 0.91750911 0.9630245
## 58 0.91954521 0.9655125
## 59 0.92106344 0.9678254
## 60 0.92115520 0.9679861
## 61 0.92124635 0.9681467
## 62 0.92238591 0.9702291
## 63 0.92346952 0.9722736
## 64 0.92452638 0.9742537
## 65 0.92557442 0.9761541
## 66 0.92670492 0.9781029
## 67 0.92776197 0.9798188
## 68 0.92882810 0.9814448
## 69 0.92990337 0.9829832
## 70 0.93098667 0.9844375
## 71 0.93216026 0.9859141
## 72 0.93325428 0.9872065
## 73 0.93435017 0.9884276
## 74 0.93544580 0.9895814
## 75 0.93653912 0.9906720
## 76 0.93771183 0.9917801
## 77 0.93879457 0.9927513
## 78 0.93986981 0.9936701
## 79 0.94093619 0.9945396
## 80 0.94207336 0.9954243
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8418432
## 2 Girdled 0.5969305 10 Rarefaction 0 6.478611 5.2154013
## 3 Girdled 0.7380650 19 Rarefaction 0 9.450319 7.5441381
## 4 Girdled 0.8034337 28 Rarefaction 0 11.514219 8.9609483
## 5 Girdled 0.8389628 37 Rarefaction 0 13.126816 9.9316196
## 6 Girdled 0.8623492 47 Rarefaction 0 14.622425 10.7104915
## 7 Girdled 0.8760358 56 Rarefaction 0 15.802851 11.2217300
## 8 Girdled 0.8858194 65 Rarefaction 0 16.877170 11.6006919
## 9 Girdled 0.8931774 74 Rarefaction 0 17.873934 11.8982533
## 10 Girdled 0.8995141 84 Rarefaction 0 18.912361 12.1307040
## 11 Girdled 0.9041168 93 Rarefaction 0 19.797701 12.3091571
## 12 Girdled 0.9080200 102 Rarefaction 0 20.644611 12.5360390
## 13 Girdled 0.9114464 111 Rarefaction 0 21.458439 12.7941745
## 14 Girdled 0.9145496 120 Rarefaction 0 22.242813 13.0671886
## 15 Girdled 0.9177469 130 Rarefaction 0 23.082756 13.3712270
## 16 Girdled 0.9204781 139 Rarefaction 0 23.812027 13.6349537
## 17 Girdled 0.9231226 148 Rarefaction 0 24.517096 13.8808353
## 18 Girdled 0.9257162 157 Rarefaction 0 25.198591 14.1087227
## 19 Girdled 0.9285714 166 Rarefaction 0 25.867399 14.2378341
## 20 Girdled 0.9288554 168 Observed 0 26.000000 14.3051867
## 21 Girdled 0.9291383 169 Extrapolation 0 26.071145 14.3161557
## 22 Girdled 0.9313612 177 Extrapolation 0 26.630211 14.3710346
## 23 Girdled 0.9337788 186 Extrapolation 0 27.238226 14.3750321
## 24 Girdled 0.9361112 195 Extrapolation 0 27.824825 14.3333387
## 25 Girdled 0.9383615 204 Extrapolation 0 28.390763 14.2641215
## 26 Girdled 0.9402951 212 Extrapolation 0 28.877064 14.1899639
## 27 Girdled 0.9423979 221 Extrapolation 0 29.405941 14.1008361
## 28 Girdled 0.9444268 230 Extrapolation 0 29.916190 14.0132352
## 29 Girdled 0.9463841 239 Extrapolation 0 30.408468 13.9270808
## 30 Girdled 0.9482726 248 Extrapolation 0 30.883406 13.8348582
## 31 Girdled 0.9498953 256 Extrapolation 0 31.291513 13.7403679
## 32 Girdled 0.9516600 265 Extrapolation 0 31.735349 13.6265545
## 33 Girdled 0.9533626 274 Extrapolation 0 32.163554 13.5083576
## 34 Girdled 0.9550052 283 Extrapolation 0 32.576676 13.3842112
## 35 Girdled 0.9565900 292 Extrapolation 0 32.975248 13.2559646
## 36 Girdled 0.9579518 300 Extrapolation 0 33.317733 13.1400107
## 37 Girdled 0.9594328 309 Extrapolation 0 33.690203 13.0091949
## 38 Girdled 0.9608616 318 Extrapolation 0 34.049555 12.8766029
## 39 Girdled 0.9622401 327 Extrapolation 0 34.396250 12.7433411
## 40 Girdled 0.9635701 336 Extrapolation 0 34.730733 12.6101581
## 41 Logged 0.1445014 1 Rarefaction 0 1.000000 0.7985919
## 42 Logged 0.5883460 14 Rarefaction 0 8.353325 6.5104884
## 43 Logged 0.7118410 28 Rarefaction 0 13.222439 10.7800398
## 44 Logged 0.7809655 42 Rarefaction 0 16.765522 13.7228463
## 45 Logged 0.8236635 56 Rarefaction 0 19.532847 15.8574299
## 46 Logged 0.8521804 70 Rarefaction 0 21.804005 17.4837785
## 47 Logged 0.8724155 84 Rarefaction 0 23.734512 18.7661086
## 48 Logged 0.8874459 98 Rarefaction 0 25.418157 19.7882172
## 49 Logged 0.8990090 112 Rarefaction 0 26.915446 20.6052996
## 50 Logged 0.9081562 126 Rarefaction 0 28.267511 21.2535953
## 51 Logged 0.9150769 139 Rarefaction 0 29.418557 21.6947792
## 52 Logged 0.9212585 153 Rarefaction 0 30.565959 21.8448017
## 53 Logged 0.9264196 167 Rarefaction 0 31.633750 21.6204597
## 54 Logged 0.9307716 181 Rarefaction 0 32.634745 21.3817077
## 55 Logged 0.9344627 195 Rarefaction 0 33.579250 21.2105289
## 56 Logged 0.9376004 209 Rarefaction 0 34.475786 21.1161684
## 57 Logged 0.9402668 223 Rarefaction 0 35.331543 21.1022647
## 58 Logged 0.9425289 237 Rarefaction 0 36.152671 21.1698373
## 59 Logged 0.9444444 250 Rarefaction 0 36.892629 21.2652626
## 60 Logged 0.9445706 252 Observed 0 37.000000 21.3306971
## 61 Logged 0.9446965 253 Extrapolation 0 37.055429 21.3443984
## 62 Logged 0.9463075 266 Extrapolation 0 37.764657 21.5117292
## 63 Logged 0.9478715 279 Extrapolation 0 38.453226 21.6771619
## 64 Logged 0.9493900 292 Extrapolation 0 39.121736 21.8429089
## 65 Logged 0.9508643 305 Extrapolation 0 39.770774 22.0002478
## 66 Logged 0.9524039 319 Extrapolation 0 40.448609 22.1577329
## 67 Logged 0.9537904 332 Extrapolation 0 41.058995 22.3017467
## 68 Logged 0.9551365 345 Extrapolation 0 41.651601 22.4340051
## 69 Logged 0.9564433 358 Extrapolation 0 42.226944 22.5541241
## 70 Logged 0.9577121 371 Extrapolation 0 42.785528 22.6759457
## 71 Logged 0.9590372 385 Extrapolation 0 43.368897 22.7953812
## 72 Logged 0.9602304 398 Extrapolation 0 43.894216 22.9004493
## 73 Logged 0.9613889 411 Extrapolation 0 44.404233 23.0022515
## 74 Logged 0.9625136 424 Extrapolation 0 44.899393 23.0978459
## 75 Logged 0.9636056 437 Extrapolation 0 45.380130 23.1891215
## 76 Logged 0.9647460 451 Extrapolation 0 45.882197 23.2835667
## 77 Logged 0.9657729 464 Extrapolation 0 46.334305 23.3657965
## 78 Logged 0.9667699 477 Extrapolation 0 46.773243 23.4427279
## 79 Logged 0.9677379 490 Extrapolation 0 47.199395 23.5148264
## 80 Logged 0.9687488 504 Extrapolation 0 47.644456 23.5874878
## qD.UCL
## 1 1.158157
## 2 7.741822
## 3 11.356499
## 4 14.067489
## 5 16.322013
## 6 18.534359
## 7 20.383972
## 8 22.153648
## 9 23.849615
## 10 25.694019
## 11 27.286245
## 12 28.753183
## 13 30.122703
## 14 31.418438
## 15 32.794286
## 16 33.989100
## 17 35.153356
## 18 36.288459
## 19 37.496965
## 20 37.694813
## 21 37.826133
## 22 38.889388
## 23 40.101419
## 24 41.316311
## 25 42.517405
## 26 43.564163
## 27 44.711045
## 28 45.819145
## 29 46.889854
## 30 47.931955
## 31 48.842657
## 32 49.844144
## 33 50.818750
## 34 51.769141
## 35 52.694531
## 36 53.495455
## 37 54.371212
## 38 55.222507
## 39 56.049158
## 40 56.851309
## 41 1.201408
## 42 10.196161
## 43 15.664839
## 44 19.808197
## 45 23.208264
## 46 26.124232
## 47 28.702915
## 48 31.048097
## 49 33.225592
## 50 35.281426
## 51 37.142335
## 52 39.287116
## 53 41.647040
## 54 43.887781
## 55 45.947971
## 56 47.835403
## 57 49.560821
## 58 51.135504
## 59 52.519995
## 60 52.669303
## 61 52.766460
## 62 54.017585
## 63 55.229289
## 64 56.400564
## 65 57.541299
## 66 58.739485
## 67 59.816244
## 68 60.869197
## 69 61.899764
## 70 62.895110
## 71 63.942412
## 72 64.887983
## 73 65.806214
## 74 66.700941
## 75 67.571138
## 76 68.480828
## 77 69.302814
## 78 70.103759
## 79 70.883964
## 80 71.701424
# show asymptotic estimates
example1$AsyEst## Assemblage Diversity Observed Estimator s.e. LCL
## 1 Girdled Species richness 26.000000 43.892857 23.2594776 26.000000
## 2 Girdled Shannon diversity 12.059650 13.826253 1.4547092 10.975076
## 3 Girdled Simpson diversity 7.840000 8.174825 0.9840027 6.246215
## 4 Logged Species richness 37.000000 61.402778 16.0396110 37.000000
## 5 Logged Shannon diversity 14.421002 16.337069 1.6012306 13.198715
## 6 Logged Simpson diversity 6.761499 6.920350 1.0053581 4.949884
## UCL
## 1 89.480595
## 2 16.677431
## 3 10.103435
## 4 92.839838
## 5 19.475423
## 6 8.890816
Rarefaction/extrapolation
Get new values
We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.
We run the code simultaneously for the three Hill numbers:
# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst ## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 50 Rarefaction 0 15.030098 12.973906 17.086291 0.8674807
## 3 Girdled 100 Rarefaction 0 20.459426 16.880570 24.038283 0.9072004
## 4 Girdled 167 Rarefaction 0 25.928571 20.759704 31.097438 0.9285714
## 5 Girdled 168 Observed 0 26.000000 20.809738 31.190262 0.9288554
## 6 Girdled 169 Extrapolation 0 26.071145 20.859522 31.282768 0.9291383
## 7 Girdled 200 Extrapolation 0 28.141739 22.276421 34.007056 0.9373713
## 8 Girdled 400 Extrapolation 0 36.792837 26.367957 47.217717 0.9717693
## 9 Girdled 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1223268
## 10 Girdled 50 Rarefaction 1 9.939329 8.217565 11.661093 0.8674807
## 11 Girdled 100 Rarefaction 1 11.266546 9.138969 13.394124 0.9072004
## 12 Girdled 167 Rarefaction 1 12.051422 9.679108 14.423736 0.9285714
## 13 Girdled 168 Observed 1 12.059650 9.684896 14.434405 0.9288554
## 14 Girdled 169 Extrapolation 1 12.067840 9.690661 14.445020 0.9291383
## 15 Girdled 200 Extrapolation 1 12.303742 9.858625 14.748858 0.9373713
## 16 Girdled 400 Extrapolation 1 13.225154 10.557005 15.893303 0.9717693
## 17 Girdled 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1223268
## 18 Girdled 50 Rarefaction 2 7.148973 5.430547 8.867398 0.8674807
## 19 Girdled 100 Rarefaction 2 7.627561 5.642307 9.612815 0.9072004
## 20 Girdled 167 Rarefaction 2 7.838078 5.728268 9.947887 0.9285714
## 21 Girdled 168 Observed 2 7.840000 5.729032 9.950968 0.9288554
## 22 Girdled 169 Extrapolation 2 7.841901 5.729787 9.954014 0.9291383
## 23 Girdled 200 Extrapolation 2 7.891717 5.749448 10.033985 0.9373713
## 24 Girdled 400 Extrapolation 2 8.030777 5.802971 10.258583 0.9717693
## 25 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 26 Logged 50 Rarefaction 0 18.420022 16.739497 20.100546 0.8076088
## 27 Logged 100 Rarefaction 0 25.642342 22.825679 28.459004 0.8892800
## 28 Logged 200 Rarefaction 0 33.904551 29.188847 38.620255 0.9356422
## 29 Logged 251 Rarefaction 0 36.944444 31.274884 42.614005 0.9444444
## 30 Logged 252 Observed 0 37.000000 31.311072 42.688928 0.9445706
## 31 Logged 253 Extrapolation 0 37.055429 31.347102 42.763757 0.9446965
## 32 Logged 400 Extrapolation 0 43.973665 35.012471 52.934859 0.9604109
## 33 Logged 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1445014
## 34 Logged 50 Rarefaction 1 10.747324 8.878689 12.615960 0.8076088
## 35 Logged 100 Rarefaction 1 12.648884 10.338987 14.958781 0.8892800
## 36 Logged 200 Rarefaction 1 14.053826 11.420274 16.687379 0.9356422
## 37 Logged 251 Rarefaction 1 14.415055 11.699419 17.130691 0.9444444
## 38 Logged 252 Observed 1 14.421002 11.704020 17.137983 0.9445706
## 39 Logged 253 Extrapolation 1 14.426930 11.708608 17.145252 0.9446965
## 40 Logged 400 Extrapolation 1 15.125810 12.252355 17.999266 0.9604109
## 41 Logged 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 50 Rarefaction 2 6.187685 4.592904 7.782465 0.8076088
## 43 Logged 100 Rarefaction 2 6.533542 4.738805 8.328279 0.8892800
## 44 Logged 200 Rarefaction 2 6.721385 4.812791 8.629980 0.9356422
## 45 Logged 251 Rarefaction 2 6.760881 4.827870 8.693892 0.9444444
## 46 Logged 252 Observed 2 6.761499 4.828104 8.694894 0.9445706
## 47 Logged 253 Extrapolation 2 6.762113 4.828337 8.695888 0.9446965
## 48 Logged 400 Extrapolation 2 6.819417 4.849911 8.788923 0.9604109
## SC.LCL SC.UCL
## 1 0.08702279 0.1576308
## 2 0.82866789 0.9062934
## 3 0.87618102 0.9382197
## 4 0.89819564 0.9589472
## 5 0.89843944 0.9592714
## 6 0.89868172 0.9595949
## 7 0.90566182 0.9690808
## 8 0.94033832 1.0000000
## 9 0.08702279 0.1576308
## 10 0.82866789 0.9062934
## 11 0.87618102 0.9382197
## 12 0.89819564 0.9589472
## 13 0.89843944 0.9592714
## 14 0.89868172 0.9595949
## 15 0.90566182 0.9690808
## 16 0.94033832 1.0000000
## 17 0.08702279 0.1576308
## 18 0.82866789 0.9062934
## 19 0.87618102 0.9382197
## 20 0.89819564 0.9589472
## 21 0.89843944 0.9592714
## 22 0.89868172 0.9595949
## 23 0.90566182 0.9690808
## 24 0.94033832 1.0000000
## 25 0.09857744 0.1904253
## 26 0.77634173 0.8388759
## 27 0.86275104 0.9158089
## 28 0.91177760 0.9595068
## 29 0.91875878 0.9701301
## 30 0.91883391 0.9703074
## 31 0.91890874 0.9704843
## 32 0.92975659 0.9910652
## 33 0.09857744 0.1904253
## 34 0.77634173 0.8388759
## 35 0.86275104 0.9158089
## 36 0.91177760 0.9595068
## 37 0.91875878 0.9701301
## 38 0.91883391 0.9703074
## 39 0.91890874 0.9704843
## 40 0.92975659 0.9910652
## 41 0.09857744 0.1904253
## 42 0.77634173 0.8388759
## 43 0.86275104 0.9158089
## 44 0.91177760 0.9595068
## 45 0.91875878 0.9701301
## 46 0.91883391 0.9703074
## 47 0.91890874 0.9704843
## 48 0.92975659 0.9910652
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8151582
## 2 Girdled 0.8674806 50 Rarefaction 0 15.030097 10.7644124
## 3 Girdled 0.9072004 100 Rarefaction 0 20.459428 12.9045659
## 4 Girdled 0.9285714 166 Rarefaction 0 25.867399 15.1386277
## 5 Girdled 0.9288554 168 Observed 0 26.000000 15.2211052
## 6 Girdled 0.9291383 169 Extrapolation 0 26.071145 15.2440102
## 7 Girdled 0.9373713 200 Extrapolation 0 28.141739 15.7456999
## 8 Girdled 0.9717693 400 Extrapolation 0 36.792837 14.6042310
## 9 Girdled 0.1223268 1 Rarefaction 1 1.000000 0.8214582
## 10 Girdled 0.8674806 50 Rarefaction 1 9.939329 7.7281714
## 11 Girdled 0.9072004 100 Rarefaction 1 11.266547 8.6715926
## 12 Girdled 0.9285714 166 Rarefaction 1 12.044343 9.3496318
## 13 Girdled 0.9288554 168 Observed 1 12.059650 9.3643946
## 14 Girdled 0.9291383 169 Extrapolation 1 12.067840 9.3721426
## 15 Girdled 0.9373713 200 Extrapolation 1 12.303742 9.6125335
## 16 Girdled 0.9717693 400 Extrapolation 1 13.225154 10.6110768
## 17 Girdled 0.1223268 1 Rarefaction 2 1.000000 0.8304381
## 18 Girdled 0.8674806 50 Rarefaction 2 7.148972 5.3417791
## 19 Girdled 0.9072004 100 Rarefaction 2 7.627561 5.6277209
## 20 Girdled 0.9285714 166 Rarefaction 2 7.836419 5.7608286
## 21 Girdled 0.9288554 168 Observed 2 7.840000 5.7634636
## 22 Girdled 0.9291383 169 Extrapolation 2 7.841901 5.7645641
## 23 Girdled 0.9373713 200 Extrapolation 2 7.891717 5.7973865
## 24 Girdled 0.9717693 400 Extrapolation 2 8.030777 5.8768239
## 25 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8200385
## 26 Logged 0.8076089 50 Rarefaction 0 18.420025 15.1612872
## 27 Logged 0.8892800 100 Rarefaction 0 25.642343 19.9991898
## 28 Logged 0.9356422 200 Rarefaction 0 33.904552 18.2116158
## 29 Logged 0.9444444 250 Rarefaction 0 36.892629 16.2134467
## 30 Logged 0.9445706 252 Observed 0 37.000000 16.2472856
## 31 Logged 0.9446965 253 Extrapolation 0 37.055429 16.2301901
## 32 Logged 0.9604109 400 Extrapolation 0 43.973665 13.7534789
## 33 Logged 0.1445014 1 Rarefaction 1 1.000000 0.8279007
## 34 Logged 0.8076089 50 Rarefaction 1 10.747325 8.6647594
## 35 Logged 0.8892800 100 Rarefaction 1 12.648884 10.1832510
## 36 Logged 0.9356422 200 Rarefaction 1 14.053826 11.2880326
## 37 Logged 0.9444444 250 Rarefaction 1 14.409488 11.5586873
## 38 Logged 0.9445706 252 Observed 1 14.421002 11.5691116
## 39 Logged 0.9446965 253 Extrapolation 1 14.426930 11.5733769
## 40 Logged 0.9604109 400 Extrapolation 1 15.125810 12.1158251
## 41 Logged 0.1445014 1 Rarefaction 2 1.000000 0.8387809
## 42 Logged 0.8076089 50 Rarefaction 2 6.187685 4.5984349
## 43 Logged 0.8892800 100 Rarefaction 2 6.533542 4.7580501
## 44 Logged 0.9356422 200 Rarefaction 2 6.721385 4.8364444
## 45 Logged 0.9444444 250 Rarefaction 2 6.760301 4.8513886
## 46 Logged 0.9445706 252 Observed 2 6.761499 4.8522298
## 47 Logged 0.9446965 253 Extrapolation 2 6.762113 4.8524594
## 48 Logged 0.9604109 400 Extrapolation 2 6.819417 4.8692965
## qD.UCL
## 1 1.184842
## 2 19.295782
## 3 28.014290
## 4 36.596171
## 5 36.778895
## 6 36.898279
## 7 40.537777
## 8 58.981444
## 9 1.178542
## 10 12.150486
## 11 13.861501
## 12 14.739055
## 13 14.754906
## 14 14.763538
## 15 14.994950
## 16 15.839231
## 17 1.169562
## 18 8.956166
## 19 9.627401
## 20 9.912009
## 21 9.916536
## 22 9.919237
## 23 9.986047
## 24 10.184729
## 25 1.179961
## 26 21.678762
## 27 31.285496
## 28 49.597488
## 29 57.571811
## 30 57.752714
## 31 57.880669
## 32 74.193851
## 33 1.172099
## 34 12.829891
## 35 15.114517
## 36 16.819620
## 37 17.260288
## 38 17.272891
## 39 17.280483
## 40 18.135795
## 41 1.161219
## 42 7.776935
## 43 8.309033
## 44 8.606326
## 45 8.669213
## 46 8.670768
## 47 8.671766
## 48 8.769537
Plotting
Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0
ggiNEXT(example1, type=1) # Curve for sample sizeRarefaction/extrapolation curves for sample size for all 3 numbers divided by site
ggiNEXT(example2, type=1, facet.var="site")Error in ggiNEXT.iNEXT(example2, type = 1, facet.var = "site"): invalid facet variable
Rarefaction/extrapolation curves for sample size separated by “order” (q)
ggiNEXT(example2, type=1, facet.var="both")Error in ggiNEXT.iNEXT(example2, type = 1, facet.var = "both"): invalid facet variable
# adding grey=TRUE, we get a plot in black and white themeWe can also work with sample coverage
ggiNEXT(example1, type=3) # Curve for sample sizeDefine at which sample size you want to compare your samples.
Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable
Use max value of the biggest sample size
inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)[1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
estINEXTsize Assemblage m Method Order.q SC qD qD.LCL qD.UCL
1 Girdled 252 Extrapolation 0 0.9490904 31.089085 23.957316 38.220855
2 Girdled 252 Extrapolation 1 0.9490904 12.630557 10.634547 14.626567
3 Girdled 252 Extrapolation 2 0.9490904 7.948519 6.557941 9.339096
4 Logged 252 Observed 0 0.9445706 37.000000 31.731928 42.268072
5 Logged 252 Observed 1 0.9445706 14.421002 11.737360 17.104643
6 Logged 252 Observed 2 0.9445706 6.761499 5.021319 8.501679
Use max sample coverage
max(info_spiders$SC)[1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
conf = 0.95)
estINEXTcov Assemblage m Method Order.q SC qD qD.LCL qD.UCL
1 Girdled 232.6025 Extrapolation 0 0.945 30.060357 14.615243 45.505471
2 Girdled 232.6025 Extrapolation 1 0.945 12.517775 9.998939 15.036611
3 Girdled 232.6025 Extrapolation 2 0.945 7.930211 6.536572 9.323850
4 Logged 255.4196 Extrapolation 0 0.945 37.189028 9.914372 64.463684
5 Logged 255.4196 Extrapolation 1 0.945 14.441198 11.391365 17.491031
6 Logged 255.4196 Extrapolation 2 0.945 6.763578 5.192778 8.334377
Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)
estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
habitat <- factor(c("Girdled", "Logged"))
# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$order == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"),
xlab = "Habitats", ylab = "Est. Species richness")Error in (function (formula, data = NULL, subset = NULL, na.action = na.fail, : Variablenlängen sind unterschiedlich (gefunden für 'habitat')
# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
geom_point(colour = c("green4", "red"), size = 5) +
geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL),
colour = c("green4", "red"),
width = 0.2) +
xlab("Habitats") +
ylab("Est. Species richness") +
theme_bw()Error in `geom_point()`:
! Problem while computing aesthetics.
ℹ Error occurred in the 1st layer.
Caused by error in `check_aesthetics()`:
! Aesthetics must be either length 1 or the same as the data (0)
✖ Fix the following mappings: `x`
SPATIAL ANALYSIS OF DIVERSITY
BIRD DATA
How does urbanization affect species richness?
Load data
# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
"Birds_Berlin_exercise_planillo2021.csv") )
head(bird_data) Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
1 0 0 0
2 0 0 0
3 0 0 0
4 0 3 0
5 0 0 0
6 0 2 5
Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
1 0 0 0 0
2 0 1 0 0
3 0 0 0 0
4 4 2 0 0
5 0 2 2 11
6 5 0 9 1
Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
1 15 0 0 1
2 21 0 0 1
3 4 0 0 0
4 0 1 0 2
5 0 1 1 1
6 0 0 1 1
Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
1 2 0 0
2 11 11 0
3 7 4 0
4 2 3 0
5 6 2 0
6 2 4 0
Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
1 0 1 0 18
2 0 0 0 23
3 0 5 0 17
4 1 0 5 10
5 1 0 0 5
6 1 0 0 2
Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
1 0 10 0 9 0
2 0 11 0 25 0
3 0 2 0 18 0
4 0 10 2 19 0
5 1 6 1 18 0
6 0 1 1 7 0
Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
1 0 0 0 0
2 8 0 0 0
3 1 0 0 0
4 10 7 1 0
5 4 0 0 20
6 4 0 0 8
Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
1 0 0 0 0
2 0 9 0 0
3 0 5 0 0
4 1 14 0 0
5 0 10 0 1
6 14 5 0 0
Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
1 0 1 0 0
2 4 1 0 0
3 2 0 0 0
4 30 3 0 10
5 18 3 2 0
6 9 1 1 0
Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
1 0 0 0 0
2 0 0 0 7
3 0 0 0 0
4 0 0 0 9
5 7 2 0 20
6 4 1 0 3
Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
1 0 0 0 0
2 0 2 0 0
3 0 0 0 0
4 0 1 0 1
5 0 2 0 1
6 0 1 3 2
Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
1 0 10 162 0 0
2 0 39 121 5 0
3 0 18 56 4 0
4 2 19 2 0 1
5 2 35 18 4 0
6 3 10 0 2 0
Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
1 0 0 0
2 5 7 4
3 4 2 0
4 0 0 13
5 1 6 13
6 2 2 5
Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
1 0 0 4 0
2 0 1 4 1
3 0 0 0 0
4 1 1 0 1
5 0 15 1 1
6 0 1 0 0
Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
1 0 0 0 0
2 0 1 2 0
3 0 0 0 0
4 2 0 1 0
5 0 1 0 0
6 0 0 0 1
Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
1 0 0 0 2
2 5 3 0 13
3 0 4 0 11
4 0 21 0 36
5 0 1 0 6
6 0 1 0 6
Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
1 2 0 0 1
2 26 0 0 4
3 10 0 0 0
4 28 1 1 0
5 24 5 4 1
6 7 0 0 0
Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
1 0 27 0 BE10
2 10 37 0 BE11
3 4 30 1 BE12
4 14 27 11 BE13
5 5 54 11 BE14
6 3 13 3 BE15
str(bird_data)'data.frame': 29 obs. of 71 variables:
$ Accipiter_gentilis : int 0 0 0 0 0 0 0 0 1 0 ...
$ Acrocephalus_arundinaceus : int 0 0 0 3 0 2 0 0 0 0 ...
$ Acrocephalus_palustris : int 0 0 0 0 0 5 0 3 4 0 ...
$ Acrocephalus_scirpaceus : int 0 0 0 4 0 5 0 0 0 2 ...
$ Aegithalos_caudatus : int 0 1 0 2 2 0 0 0 2 0 ...
$ Alauda_arvensis : int 0 0 0 0 2 9 0 21 1 0 ...
$ Anthus_trivialis : int 0 0 0 0 11 1 0 0 0 0 ...
$ Apus_apus : int 15 21 4 0 0 0 0 0 3 12 ...
$ Buteo_buteo : int 0 0 0 1 1 0 0 0 0 0 ...
$ Carduelis_cannabina : int 0 0 0 0 1 1 0 3 1 0 ...
$ Carduelis_carduelis : int 1 1 0 2 1 1 1 3 1 4 ...
$ Carduelis_chloris : int 2 11 7 2 6 2 11 6 8 13 ...
$ Certhia_brachydactyla : int 0 11 4 3 2 4 2 0 1 3 ...
$ Certhia_familiaris : int 0 0 0 0 0 0 0 0 0 0 ...
$ Coccothraustes_coccothraustes: int 0 0 0 1 1 1 0 0 0 1 ...
$ Columba_livia : int 1 0 5 0 0 0 0 0 1 0 ...
$ Columba_oenas : int 0 0 0 5 0 0 0 0 0 0 ...
$ Columba_palumbus : int 18 23 17 10 5 2 16 7 13 15 ...
$ Corvus_corax : int 0 0 0 0 1 0 0 0 1 0 ...
$ Corvus_corone : int 10 11 2 10 6 1 4 4 8 10 ...
$ Cuculus_canorus : int 0 0 0 2 1 1 0 3 1 0 ...
$ Parus_caeruleus : int 9 25 18 19 18 7 20 4 18 15 ...
$ Delichon_urbicum : int 0 0 0 0 0 0 0 0 2 0 ...
$ Dendrocopos_major : int 0 8 1 10 4 4 0 0 3 3 ...
$ Dendrocopos_medius : int 0 0 0 7 0 0 0 0 0 0 ...
$ Dryocopus_martius : int 0 0 0 1 0 0 0 0 0 0 ...
$ Emberiza_citrinella : int 0 0 0 0 20 8 0 14 4 0 ...
$ Emberiza_schoeniclus : int 0 0 0 1 0 14 0 0 1 0 ...
$ Erithacus_rubecula : int 0 9 5 14 10 5 0 0 4 4 ...
$ Falco_tinnunculus : int 0 0 0 0 0 0 0 0 1 0 ...
$ Ficedula_hypoleuca : int 0 0 0 0 1 0 0 0 0 4 ...
$ Fringilla_coelebs : int 0 4 2 30 18 9 2 2 0 0 ...
$ Garrulus_glandarius : int 1 1 0 3 3 1 2 2 0 3 ...
$ Hippolais_icterina : int 0 0 0 0 2 1 0 5 1 2 ...
$ Hirundo_rustica : int 0 0 0 10 0 0 0 0 1 0 ...
$ Lanius_collurio : int 0 0 0 0 7 4 0 2 2 0 ...
$ Locustella_naevia : int 0 0 0 0 2 1 0 2 2 0 ...
$ Parus_cristatus : int 0 0 0 0 0 0 0 0 1 0 ...
$ Luscinia_megarhynchos : int 0 7 0 9 20 3 10 6 18 5 ...
$ Miliaria_calandra : int 0 0 0 0 0 0 0 8 0 0 ...
$ Motacilla_alba : int 0 2 0 1 2 1 0 0 2 0 ...
$ Motacilla_flava : int 0 0 0 0 0 3 0 0 0 0 ...
$ Muscicapa_striata : int 0 0 0 1 1 2 0 0 1 3 ...
$ Oriolus_oriolus : int 0 0 0 2 2 3 0 0 0 0 ...
$ Parus_major : int 10 39 18 19 35 10 46 17 28 18 ...
$ Passer_domesticus : int 162 121 56 2 18 0 104 0 88 90 ...
$ Passer_montanus : int 0 5 4 0 4 2 6 4 8 8 ...
$ Parus_ater : int 0 0 0 1 0 0 0 0 0 0 ...
$ Phoenicurus_ochruros : int 0 5 4 0 1 2 7 0 4 6 ...
$ Phoenicurus_phoenicurus : int 0 7 2 0 6 2 11 0 12 9 ...
$ Phylloscopus_collybita : int 0 4 0 13 13 5 7 4 9 3 ...
$ Phylloscopus_sibilatrix : int 0 0 0 1 0 0 0 0 0 0 ...
$ Phylloscopus_trochilus : int 0 1 0 1 15 1 0 14 4 3 ...
$ Pica_pica : int 4 4 0 0 1 0 4 2 5 7 ...
$ Picus_viridis : int 0 1 0 1 1 0 0 1 0 1 ...
$ Parus_palustris : int 0 0 0 2 0 0 0 0 0 0 ...
$ Prunella_modularis : int 0 1 0 0 1 0 1 0 3 1 ...
$ Regulus_ignicapilla : int 0 2 0 1 0 0 4 0 1 0 ...
$ Saxicola_torquatus : int 0 0 0 0 0 1 0 2 0 0 ...
$ Serinus_serinus : int 0 5 0 0 0 0 4 0 7 4 ...
$ Sitta_europaea : int 0 3 4 21 1 1 0 0 0 3 ...
$ Streptopelia_decaocto : int 0 0 0 0 0 0 0 0 0 6 ...
$ Sturnus_vulgaris : int 2 13 11 36 6 6 19 10 17 34 ...
$ Sylvia_atricapilla : int 2 26 10 28 24 7 14 12 15 7 ...
$ Sylvia_borin : int 0 0 0 1 5 0 0 3 3 3 ...
$ Sylvia_communis : int 0 0 0 1 4 0 0 23 0 1 ...
$ Sylvia_curruca : int 1 4 0 0 1 0 7 3 4 4 ...
$ Troglodytes_troglodytes : int 0 10 4 14 5 3 6 0 5 2 ...
$ Turdus_merula : int 27 37 30 27 54 13 39 14 49 32 ...
$ Turdus_philomelos : int 0 0 1 11 11 3 1 5 1 4 ...
$ site : chr "BE10" "BE11" "BE12" "BE13" ...
summary(bird_data) Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
Min. :0.0000 Min. :0.0000 Min. :0.0000
1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000
Median :0.0000 Median :0.0000 Median :0.0000
Mean :0.1379 Mean :0.2414 Mean :0.4138
3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
Max. :2.0000 Max. :3.0000 Max. :5.0000
Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
Min. :0.0000 Min. :0.0000 Min. : 0.000 Min. : 0.0000
1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000
Median :0.0000 Median :0.0000 Median : 0.000 Median : 0.0000
Mean :0.5517 Mean :0.7241 Mean : 1.172 Mean : 0.4483
3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000
Max. :5.0000 Max. :4.0000 Max. :21.000 Max. :11.0000
Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
Min. : 0.000 Min. :0.0000 Min. :0.0000 Min. :0.000
1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.000
Median : 0.000 Median :0.0000 Median :0.0000 Median :1.000
Mean : 5.069 Mean :0.1034 Mean :0.3103 Mean :1.517
3rd Qu.: 5.000 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:2.000
Max. :37.000 Max. :1.0000 Max. :3.0000 Max. :6.000
Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
Min. : 0.000 Min. : 0.000 Min. :0.0000
1st Qu.: 2.000 1st Qu.: 1.000 1st Qu.:0.0000
Median : 6.000 Median : 3.000 Median :0.0000
Mean : 6.276 Mean : 4.483 Mean :0.5172
3rd Qu.: 9.000 3rd Qu.: 9.000 3rd Qu.:0.0000
Max. :19.000 Max. :12.000 Max. :6.0000
Coccothraustes_coccothraustes Columba_livia Columba_oenas
Min. : 0.000 Min. : 0.000 Min. :0.0000
1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000
Median : 0.000 Median : 0.000 Median :0.0000
Mean : 1.621 Mean : 2.586 Mean :0.4138
3rd Qu.: 1.000 3rd Qu.: 4.000 3rd Qu.:0.0000
Max. :15.000 Max. :15.000 Max. :5.0000
Columba_palumbus Corvus_corax Corvus_corone Cuculus_canorus
Min. : 2.00 Min. :0.0000 Min. : 0.000 Min. :0.0000
1st Qu.:10.00 1st Qu.:0.0000 1st Qu.: 2.000 1st Qu.:0.0000
Median :13.00 Median :0.0000 Median : 6.000 Median :0.0000
Mean :13.07 Mean :0.1379 Mean : 6.586 Mean :0.3448
3rd Qu.:17.00 3rd Qu.:0.0000 3rd Qu.:10.000 3rd Qu.:0.0000
Max. :32.00 Max. :1.0000 Max. :22.000 Max. :3.0000
Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
Min. : 4 Min. :0.0000 Min. : 0.000 Min. :0.0000
1st Qu.:11 1st Qu.:0.0000 1st Qu.: 1.000 1st Qu.:0.0000
Median :18 Median :0.0000 Median : 2.000 Median :0.0000
Mean :19 Mean :0.2069 Mean : 5.517 Mean :0.3103
3rd Qu.:23 3rd Qu.:0.0000 3rd Qu.: 8.000 3rd Qu.:0.0000
Max. :44 Max. :2.0000 Max. :36.000 Max. :7.0000
Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
Min. :0.0000 Min. : 0.000 Min. : 0.0000 Min. : 0.000
1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 2.000
Median :0.0000 Median : 0.000 Median : 0.0000 Median : 4.000
Mean :0.2069 Mean : 1.862 Mean : 0.5517 Mean : 6.931
3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:10.000
Max. :2.0000 Max. :20.000 Max. :14.0000 Max. :35.000
Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
Min. :0.0000 Min. :0.000 Min. : 0.00 Min. :0.000
1st Qu.:0.0000 1st Qu.:0.000 1st Qu.: 0.00 1st Qu.:1.000
Median :0.0000 Median :0.000 Median : 3.00 Median :1.000
Mean :0.1724 Mean :1.345 Mean :11.86 Mean :1.793
3rd Qu.:0.0000 3rd Qu.:1.000 3rd Qu.:18.00 3rd Qu.:3.000
Max. :1.0000 Max. :9.000 Max. :71.00 Max. :5.000
Hippolais_icterina Hirundo_rustica Lanius_collurio Locustella_naevia
Min. :0.0000 Min. : 0.0000 Min. :0.0000 Min. :0.0000
1st Qu.:0.0000 1st Qu.: 0.0000 1st Qu.:0.0000 1st Qu.:0.0000
Median :0.0000 Median : 0.0000 Median :0.0000 Median :0.0000
Mean :0.3793 Mean : 0.6552 Mean :0.5172 Mean :0.2414
3rd Qu.:0.0000 3rd Qu.: 0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
Max. :5.0000 Max. :10.0000 Max. :7.0000 Max. :2.0000
Parus_cristatus Luscinia_megarhynchos Miliaria_calandra Motacilla_alba
Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. :0.0000
1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000
Median :0.0000 Median : 2.000 Median :0.0000 Median :0.0000
Mean :0.8621 Mean : 4.069 Mean :0.2759 Mean :0.4138
3rd Qu.:0.0000 3rd Qu.: 7.000 3rd Qu.:0.0000 3rd Qu.:1.0000
Max. :7.0000 Max. :20.000 Max. :8.0000 Max. :2.0000
Motacilla_flava Muscicapa_striata Oriolus_oriolus Parus_major
Min. :0.0000 Min. :0.0000 Min. :0.0000 Min. : 6.00
1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:17.00
Median :0.0000 Median :0.0000 Median :0.0000 Median :22.00
Mean :0.1034 Mean :0.6207 Mean :0.2759 Mean :23.86
3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.:0.0000 3rd Qu.:29.00
Max. :3.0000 Max. :4.0000 Max. :3.0000 Max. :52.00
Passer_domesticus Passer_montanus Parus_ater Phoenicurus_ochruros
Min. : 0.00 Min. : 0.000 Min. :0.0000 Min. : 0
1st Qu.: 14.00 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 1
Median : 65.00 Median : 3.000 Median :0.0000 Median : 2
Mean : 68.38 Mean : 3.828 Mean :0.5517 Mean : 4
3rd Qu.: 90.00 3rd Qu.: 6.000 3rd Qu.:0.0000 3rd Qu.: 5
Max. :279.00 Max. :15.000 Max. :5.0000 Max. :21
Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
Min. : 0.000 Min. : 0.000 Min. : 0.000
1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 0.000
Median : 5.000 Median : 2.000 Median : 0.000
Mean : 4.966 Mean : 3.517 Mean : 2.069
3rd Qu.: 8.000 3rd Qu.: 5.000 3rd Qu.: 1.000
Max. :13.000 Max. :14.000 Max. :24.000
Phylloscopus_trochilus Pica_pica Picus_viridis Parus_palustris
Min. : 0.000 Min. : 0.000 Min. :0.0000 Min. : 0.0000
1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.0000
Median : 0.000 Median : 2.000 Median :0.0000 Median : 0.0000
Mean : 1.483 Mean : 3.138 Mean :0.4483 Mean : 0.5517
3rd Qu.: 1.000 3rd Qu.: 5.000 3rd Qu.:1.0000 3rd Qu.: 0.0000
Max. :15.000 Max. :10.000 Max. :1.0000 Max. :10.0000
Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus
Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. : 0.000
1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.000
Median :0.0000 Median : 0.000 Median :0.0000 Median : 1.000
Mean :0.5517 Mean : 1.552 Mean :0.1034 Mean : 2.103
3rd Qu.:1.0000 3rd Qu.: 2.000 3rd Qu.:0.0000 3rd Qu.: 4.000
Max. :5.0000 Max. :12.000 Max. :2.0000 Max. :15.000
Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
Min. : 0.000 Min. :0.0000 Min. : 2.00 Min. : 0.00
1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 5.00 1st Qu.: 7.00
Median : 1.000 Median :0.0000 Median : 8.00 Median :10.00
Mean : 4.759 Mean :0.2069 Mean :10.52 Mean :10.83
3rd Qu.: 4.000 3rd Qu.:0.0000 3rd Qu.:13.00 3rd Qu.:13.00
Max. :29.000 Max. :6.0000 Max. :36.00 Max. :28.00
Sylvia_borin Sylvia_communis Sylvia_curruca Troglodytes_troglodytes
Min. :0.0000 Min. : 0.000 Min. :0.000 Min. : 0.000
1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.000 1st Qu.: 0.000
Median :0.0000 Median : 0.000 Median :2.000 Median : 3.000
Mean :0.6207 Mean : 1.069 Mean :2.207 Mean : 6.034
3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.:3.000 3rd Qu.: 9.000
Max. :5.0000 Max. :23.000 Max. :7.000 Max. :36.000
Turdus_merula Turdus_philomelos site
Min. :11.00 Min. : 0.000 Length:29
1st Qu.:18.00 1st Qu.: 0.000 Class :character
Median :27.00 Median : 1.000 Mode :character
Mean :29.34 Mean : 3.345
3rd Qu.:39.00 3rd Qu.: 5.000
Max. :54.00 Max. :14.000
Get the Hill Number for species richness
iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.
# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site")
bird_data <- t(bird_data)
# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness
#Show a summary of the data
birds_inext$DataInfo Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
1 BE10 265 15 0.9850 4 3 0 1 0 0 0 0 1 2
2 BE11 423 32 0.9858 6 2 1 4 3 0 2 1 1 1
3 BE12 209 21 0.9906 2 3 0 6 2 0 1 0 0 1
4 BE13 333 42 0.9611 13 7 3 1 1 0 1 0 1 4
5 BE14 356 46 0.9608 14 7 1 3 3 4 1 0 0 1
6 BE15 157 41 0.9178 13 7 5 3 4 1 2 1 2 1
7 BE16 348 25 0.9914 3 3 0 4 0 2 3 0 0 1
8 BE17 209 31 0.9955 1 6 6 4 2 2 1 1 0 1
9 BE18 370 47 0.9568 16 5 4 6 2 0 1 3 1 0
10 BE19 345 37 0.9885 4 3 8 6 1 2 2 1 1 1
11 BE2 434 32 0.9862 6 6 1 0 2 2 1 0 1 0
12 BE20 149 20 0.9531 7 1 2 3 1 2 0 0 1 0
13 BE21 374 35 0.9867 5 2 4 2 2 3 1 3 0 0
14 BE22 232 23 0.9871 3 2 5 1 3 0 1 0 0 1
15 BE23 222 21 0.9820 4 0 5 2 2 1 0 0 0 0
16 BE24 312 20 0.9937 2 3 3 1 2 1 0 1 1 0
17 BE25 237 29 0.9707 7 7 1 0 4 0 1 0 1 2
18 BE26 305 26 0.9837 5 5 1 1 3 2 0 1 0 2
19 BE27 312 39 0.9584 13 5 5 2 1 0 1 0 2 0
20 BE28 267 30 0.9776 6 3 4 3 0 2 0 1 3 0
21 BE29 243 22 0.9919 2 3 2 0 3 1 0 0 2 1
22 BE3 294 40 0.9763 7 5 3 2 4 0 5 2 4 1
23 BE30 266 28 0.9588 11 4 1 0 0 1 1 0 2 1
24 BE4 415 32 0.9880 5 1 3 1 2 1 3 2 0 1
25 BE5 199 17 0.9850 3 2 0 1 4 1 2 0 0 1
26 BE6 208 26 0.9617 8 3 4 0 2 0 0 3 1 1
27 BE7 540 28 0.9852 8 5 1 1 1 0 1 2 0 1
28 BE8 219 24 0.9864 3 3 2 2 1 4 2 0 1 1
29 BE9 310 33 0.9742 8 2 3 1 4 2 1 0 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)$size_based
Assemblage m Method Order.q qD qD.LCL qD.UCL
1 BE10 1 Rarefaction 0 1.000000 1.000000 1.000000
2 BE10 15 Rarefaction 0 5.138521 4.631644 5.645398
3 BE10 30 Rarefaction 0 7.261204 6.520533 8.001876
4 BE10 44 Rarefaction 0 8.493792 7.579185 9.408399
5 BE10 59 Rarefaction 0 9.433917 8.344880 10.522953
6 BE10 74 Rarefaction 0 10.164352 8.908731 11.419973
7 BE10 88 Rarefaction 0 10.736162 9.333605 12.138719
8 BE10 103 Rarefaction 0 11.274111 9.724321 12.823901
9 BE10 117 Rarefaction 0 11.727559 10.049640 13.405479
10 BE10 132 Rarefaction 0 12.174118 10.367858 13.980379
11 BE10 147 Rarefaction 0 12.587566 10.660924 14.514209
12 BE10 161 Rarefaction 0 12.947639 10.914721 14.980556
13 BE10 176 Rarefaction 0 13.308532 11.167264 15.449800
14 BE10 190 Rarefaction 0 13.623868 11.385878 15.861858
15 BE10 205 Rarefaction 0 13.940110 11.602538 16.277681
16 BE10 220 Rarefaction 0 14.235107 11.801546 16.668669
17 BE10 234 Rarefaction 0 14.492039 11.971627 17.012451
18 BE10 249 Rarefaction 0 14.748190 12.137125 17.359255
19 BE10 264 Rarefaction 0 14.984906 12.285087 17.684724
20 BE10 265 Observed 0 15.000000 12.294317 17.705683
21 BE10 266 Extrapolation 0 15.015009 12.303463 17.726555
22 BE10 279 Extrapolation 0 15.202582 12.414882 17.990282
23 BE10 293 Extrapolation 0 15.389716 12.519796 18.259636
24 BE10 307 Extrapolation 0 15.562580 12.609889 18.515271
25 BE10 321 Extrapolation 0 15.722262 12.686093 18.758431
26 BE10 335 Extrapolation 0 15.869767 12.749381 18.990153
27 BE10 349 Extrapolation 0 16.006024 12.800726 19.211322
28 BE10 363 Extrapolation 0 16.131891 12.841075 19.422707
29 BE10 377 Extrapolation 0 16.248159 12.871331 19.624988
30 BE10 391 Extrapolation 0 16.355562 12.892349 19.818774
31 BE10 404 Extrapolation 0 16.447945 12.904295 19.991596
32 BE10 418 Extrapolation 0 16.540113 12.909711 20.170515
33 BE10 432 Extrapolation 0 16.625252 12.908081 20.342423
34 BE10 446 Extrapolation 0 16.703899 12.900050 20.507748
35 BE10 460 Extrapolation 0 16.776548 12.886214 20.666883
36 BE10 474 Extrapolation 0 16.843658 12.867123 20.820193
37 BE10 488 Extrapolation 0 16.905650 12.843283 20.968016
38 BE10 502 Extrapolation 0 16.962915 12.815162 21.110667
39 BE10 516 Extrapolation 0 17.015813 12.783190 21.248436
40 BE10 530 Extrapolation 0 17.064677 12.747760 21.381594
41 BE11 1 Rarefaction 0 1.000000 1.000000 1.000000
42 BE11 24 Rarefaction 0 12.039825 11.482893 12.596756
43 BE11 47 Rarefaction 0 17.059840 16.108938 18.010743
44 BE11 71 Rarefaction 0 20.301219 19.077434 21.525003
45 BE11 94 Rarefaction 0 22.469926 21.059231 23.880621
46 BE11 117 Rarefaction 0 24.094760 22.537099 25.652421
47 BE11 141 Rarefaction 0 25.411433 23.725006 27.097860
48 BE11 164 Rarefaction 0 26.423742 24.627660 28.219825
49 BE11 188 Rarefaction 0 27.295731 25.393289 29.198173
50 BE11 211 Rarefaction 0 28.002310 26.002029 30.002591
51 BE11 234 Rarefaction 0 28.614707 26.518398 30.711015
52 BE11 258 Rarefaction 0 29.177696 26.981696 31.373695
53 BE11 281 Rarefaction 0 29.661529 27.369653 31.953405
54 BE11 305 Rarefaction 0 30.121871 27.729059 32.514683
55 BE11 328 Rarefaction 0 30.530064 28.039341 33.020787
56 BE11 351 Rarefaction 0 30.913169 28.323148 33.503191
57 BE11 375 Rarefaction 0 31.291853 28.596514 33.987192
58 BE11 398 Rarefaction 0 31.638444 28.840318 34.436570
59 BE11 422 Rarefaction 0 31.985816 29.078215 34.893416
60 BE11 423 Observed 0 32.000000 29.087784 34.912216
61 BE11 424 Extrapolation 0 32.014162 29.097326 34.930998
62 BE11 446 Extrapolation 0 32.320137 29.300240 35.340034
63 BE11 468 Extrapolation 0 32.615669 29.489772 35.741566
64 BE11 490 Extrapolation 0 32.901113 29.665975 36.136252
65 BE11 512 Extrapolation 0 33.176815 29.828986 36.524644
66 BE11 535 Extrapolation 0 33.454993 29.985538 36.924447
67 BE11 557 Extrapolation 0 33.711790 30.122323 37.301257
68 BE11 579 Extrapolation 0 33.959822 30.246797 37.672847
69 BE11 601 Extrapolation 0 34.199389 30.359373 38.039404
70 BE11 623 Extrapolation 0 34.430778 30.460503 38.401054
71 BE11 646 Extrapolation 0 34.664246 30.554512 38.773980
72 BE11 668 Extrapolation 0 34.879769 30.633747 39.125791
73 BE11 690 Extrapolation 0 35.087936 30.703050 39.472823
74 BE11 712 Extrapolation 0 35.288999 30.762933 39.815065
75 BE11 734 Extrapolation 0 35.483198 30.813903 40.152493
76 BE11 757 Extrapolation 0 35.679142 30.858201 40.500082
77 BE11 779 Extrapolation 0 35.860025 30.892478 40.827571
78 BE11 801 Extrapolation 0 36.034734 30.919316 41.150153
79 BE11 823 Extrapolation 0 36.203481 30.939163 41.467798
80 BE11 846 Extrapolation 0 36.373742 30.952906 41.794579
81 BE12 1 Rarefaction 0 1.000000 1.000000 1.000000
82 BE12 12 Rarefaction 0 7.345013 6.804475 7.885552
83 BE12 24 Rarefaction 0 10.836125 9.877613 11.794637
84 BE12 35 Rarefaction 0 12.944978 11.737905 14.152050
85 BE12 47 Rarefaction 0 14.630594 13.242674 16.018514
86 BE12 58 Rarefaction 0 15.821994 14.324184 17.319804
87 BE12 70 Rarefaction 0 16.854248 15.279903 18.428592
88 BE12 81 Rarefaction 0 17.616638 16.001313 19.231963
89 BE12 93 Rarefaction 0 18.293314 16.656035 19.930594
90 BE12 104 Rarefaction 0 18.800803 17.157744 20.443862
91 BE12 116 Rarefaction 0 19.256608 17.616949 20.896267
92 BE12 127 Rarefaction 0 19.602546 17.970596 21.234495
93 BE12 139 Rarefaction 0 19.917558 18.295078 21.540037
94 BE12 150 Rarefaction 0 20.160627 18.544897 21.776357
95 BE12 162 Rarefaction 0 20.386195 18.772988 21.999402
96 BE12 173 Rarefaction 0 20.563733 18.946338 22.181128
97 BE12 185 Rarefaction 0 20.731389 19.100354 22.362424
98 BE12 196 Rarefaction 0 20.864776 19.211426 22.518127
99 BE12 208 Rarefaction 0 20.990431 19.300629 22.680232
100 BE12 209 Observed 0 21.000000 19.306552 22.693448
101 BE12 210 Extrapolation 0 21.009433 19.312244 22.706622
102 BE12 220 Extrapolation 0 21.096696 19.357033 22.836358
103 BE12 231 Extrapolation 0 21.179299 19.382919 22.975679
104 BE12 242 Extrapolation 0 21.249863 19.387562 23.112164
105 BE12 253 Extrapolation 0 21.310144 19.374218 23.246069
106 BE12 264 Extrapolation 0 21.361639 19.345893 23.377385
107 BE12 275 Extrapolation 0 21.405629 19.305258 23.506000
108 BE12 286 Extrapolation 0 21.443208 19.254632 23.631784
109 BE12 297 Extrapolation 0 21.475310 19.195989 23.754631
110 BE12 308 Extrapolation 0 21.502734 19.130988 23.874479
111 BE12 319 Extrapolation 0 21.526160 19.061017 23.991303
112 BE12 330 Extrapolation 0 21.546173 18.987228 24.105118
113 BE12 341 Extrapolation 0 21.563269 18.910574 24.215964
114 BE12 352 Extrapolation 0 21.577873 18.831844 24.323903
115 BE12 363 Extrapolation 0 21.590349 18.751687 24.429011
116 BE12 374 Extrapolation 0 21.601007 18.670642 24.531372
117 BE12 385 Extrapolation 0 21.610111 18.589149 24.631074
118 BE12 396 Extrapolation 0 21.617889 18.507572 24.728206
119 BE12 407 Extrapolation 0 21.624533 18.426210 24.822856
120 BE12 418 Extrapolation 0 21.630209 18.345305 24.915112
121 BE13 1 Rarefaction 0 1.000000 1.000000 1.000000
122 BE13 19 Rarefaction 0 12.630236 12.112949 13.147522
123 BE13 37 Rarefaction 0 18.418019 17.340224 19.495814
124 BE13 56 Rarefaction 0 22.229059 20.682877 23.775240
125 BE13 74 Rarefaction 0 24.851477 22.944360 26.758594
126 BE13 92 Rarefaction 0 26.959730 24.745868 29.173591
127 BE13 111 Rarefaction 0 28.848596 26.349585 31.347607
128 BE13 129 Rarefaction 0 30.427141 27.681877 33.172404
129 BE13 148 Rarefaction 0 31.933919 28.945261 34.922577
130 BE13 166 Rarefaction 0 33.243929 30.035258 36.452600
131 BE13 184 Rarefaction 0 34.459533 31.037875 37.881190
132 BE13 203 Rarefaction 0 35.654192 32.012855 39.295530
133 BE13 221 Rarefaction 0 36.711440 32.865027 40.557852
134 BE13 240 Rarefaction 0 37.756304 33.694978 41.817630
135 BE13 258 Rarefaction 0 38.684490 34.419645 42.949334
136 BE13 276 Rarefaction 0 39.557362 35.087817 44.026907
137 BE13 295 Rarefaction 0 40.423182 35.734983 45.111382
138 BE13 313 Rarefaction 0 41.194588 36.295617 46.093560
139 BE13 332 Rarefaction 0 41.960961 36.834454 47.087468
140 BE13 333 Observed 0 42.000000 36.861351 47.138649
141 BE13 334 Extrapolation 0 42.038913 36.888103 47.189723
142 BE13 351 Extrapolation 0 42.681509 37.321173 48.041845
143 BE13 368 Extrapolation 0 43.289684 37.714405 48.864962
144 BE13 386 Extrapolation 0 43.898162 38.089342 49.706982
145 BE13 403 Extrapolation 0 44.441165 38.406285 50.476045
146 BE13 421 Extrapolation 0 44.984440 38.704699 51.264181
147 BE13 438 Extrapolation 0 45.469255 38.953467 51.985042
148 BE13 456 Extrapolation 0 45.954312 39.184060 52.724564
149 BE13 473 Extrapolation 0 46.387175 39.372869 53.401480
150 BE13 491 Extrapolation 0 46.820254 39.544226 54.096282
151 BE13 508 Extrapolation 0 47.206731 39.680989 54.732472
152 BE13 526 Extrapolation 0 47.593401 39.801215 55.385588
153 BE13 543 Extrapolation 0 47.938464 39.893280 55.983648
154 BE13 561 Extrapolation 0 48.283699 39.969789 56.597608
155 BE13 578 Extrapolation 0 48.591784 40.023794 57.159775
156 BE13 596 Extrapolation 0 48.900024 40.063219 57.736829
157 BE13 613 Extrapolation 0 49.175096 40.085051 58.265140
158 BE13 631 Extrapolation 0 49.450305 40.093235 58.807375
159 BE13 648 Extrapolation 0 49.695900 40.088050 59.303749
160 BE13 666 Extrapolation 0 49.941617 40.070082 59.813153
161 BE14 1 Rarefaction 0 1.000000 1.000000 1.000000
162 BE14 20 Rarefaction 0 13.090894 12.541312 13.640476
163 BE14 40 Rarefaction 0 19.715451 18.606084 20.824817
164 BE14 60 Rarefaction 0 24.044829 22.451219 25.638438
165 BE14 79 Rarefaction 0 27.113808 25.104827 29.122790
166 BE14 99 Rarefaction 0 29.707403 27.299264 32.115542
167 BE14 119 Rarefaction 0 31.874377 29.102509 34.646246
168 BE14 138 Rarefaction 0 33.653495 30.566281 36.740710
169 BE14 158 Rarefaction 0 35.306797 31.916166 38.697427
170 BE14 178 Rarefaction 0 36.786473 33.117922 40.455024
171 BE14 197 Rarefaction 0 38.065288 34.152763 41.977812
172 BE14 217 Rarefaction 0 39.303941 35.152092 43.455791
173 BE14 237 Rarefaction 0 40.452149 36.075428 44.828870
174 BE14 256 Rarefaction 0 41.472750 36.892775 46.052724
175 BE14 276 Rarefaction 0 42.483624 37.697658 47.269590
176 BE14 296 Rarefaction 0 43.437131 38.450486 48.423777
177 BE14 315 Rarefaction 0 44.294857 39.119987 49.469726
178 BE14 335 Rarefaction 0 45.150687 39.777727 50.523648
179 BE14 355 Rarefaction 0 45.960674 40.387176 51.534172
180 BE14 356 Observed 0 46.000000 40.416366 51.583634
181 BE14 357 Extrapolation 0 46.039215 40.445433 51.632997
182 BE14 375 Extrapolation 0 46.726552 40.947729 52.505375
183 BE14 394 Extrapolation 0 47.415292 41.435572 53.395013
184 BE14 413 Extrapolation 0 48.068189 41.881129 54.255248
185 BE14 431 Extrapolation 0 48.655350 42.265620 55.045080
186 BE14 450 Extrapolation 0 49.243710 42.633435 55.853985
187 BE14 469 Extrapolation 0 49.801451 42.964034 56.638867
188 BE14 487 Extrapolation 0 50.303037 43.244676 57.361397
189 BE14 506 Extrapolation 0 50.805647 43.508434 58.102860
190 BE14 525 Extrapolation 0 51.282100 43.740769 58.823430
191 BE14 543 Extrapolation 0 51.710582 43.933632 59.487532
192 BE14 562 Extrapolation 0 52.139940 44.110233 60.169647
193 BE14 581 Extrapolation 0 52.546952 44.260883 60.833022
194 BE14 599 Extrapolation 0 52.912986 44.381212 61.444760
195 BE14 618 Extrapolation 0 53.279767 44.486143 62.073391
196 BE14 637 Extrapolation 0 53.627460 44.569901 62.685019
197 BE14 655 Extrapolation 0 53.940146 44.631034 63.249258
198 BE14 674 Extrapolation 0 54.253471 44.677644 63.829299
199 BE14 693 Extrapolation 0 54.550490 44.707113 64.393867
200 BE14 712 Extrapolation 0 54.832051 44.720650 64.943452
201 BE15 1 Rarefaction 0 1.000000 1.000000 1.000000
202 BE15 9 Rarefaction 0 7.814112 7.590271 8.037952
203 BE15 18 Rarefaction 0 13.581021 12.935107 14.226936
204 BE15 26 Rarefaction 0 17.562965 16.537454 18.588476
205 BE15 35 Rarefaction 0 21.159334 19.741135 22.577533
206 BE15 44 Rarefaction 0 24.092468 22.320584 25.864352
207 BE15 52 Rarefaction 0 26.293249 24.234469 28.352030
208 BE15 61 Rarefaction 0 28.424764 26.067598 30.781929
209 BE15 69 Rarefaction 0 30.080357 27.475182 32.685531
210 BE15 78 Rarefaction 0 31.730038 28.861479 34.598596
211 BE15 87 Rarefaction 0 33.197592 30.079363 36.315822
212 BE15 95 Rarefaction 0 34.376523 31.046025 37.707021
213 BE15 104 Rarefaction 0 35.585023 32.024773 39.145273
214 BE15 112 Rarefaction 0 36.570246 32.812281 40.328210
215 BE15 121 Rarefaction 0 37.593139 33.618165 41.568114
216 BE15 130 Rarefaction 0 38.537964 34.349502 42.726427
217 BE15 138 Rarefaction 0 39.320806 34.943468 43.698145
218 BE15 147 Rarefaction 0 40.145276 35.553871 44.736682
219 BE15 156 Rarefaction 0 40.917197 36.107023 45.727372
220 BE15 157 Observed 0 41.000000 36.165080 45.834920
221 BE15 158 Extrapolation 0 41.082235 36.222468 45.942002
222 BE15 166 Extrapolation 0 41.720138 36.657770 46.782506
223 BE15 174 Extrapolation 0 42.323882 37.051722 47.596041
224 BE15 182 Extrapolation 0 42.895295 37.405777 48.384813
225 BE15 190 Extrapolation 0 43.436109 37.721524 49.150694
226 BE15 199 Extrapolation 0 44.009986 38.033096 49.986876
227 BE15 207 Extrapolation 0 44.491108 38.273273 50.708944
228 BE15 215 Extrapolation 0 44.946466 38.480803 51.412130
229 BE15 223 Extrapolation 0 45.377440 38.657599 52.097281
230 BE15 231 Extrapolation 0 45.785336 38.805568 52.765103
231 BE15 240 Extrapolation 0 46.218168 38.939902 53.496433
232 BE15 248 Extrapolation 0 46.581042 39.032755 54.129329
233 BE15 256 Extrapolation 0 46.924485 39.102427 54.746542
234 BE15 264 Extrapolation 0 47.249536 39.150572 55.348499
235 BE15 272 Extrapolation 0 47.557180 39.178758 55.935602
236 BE15 281 Extrapolation 0 47.883633 39.188446 56.578820
237 BE15 289 Extrapolation 0 48.157322 39.179010 57.135634
238 BE15 297 Extrapolation 0 48.416355 39.153931 57.678778
239 BE15 305 Extrapolation 0 48.661516 39.114410 58.208622
240 BE15 314 Extrapolation 0 48.921666 39.054074 58.789258
241 BE16 1 Rarefaction 0 1.000000 1.000000 1.000000
242 BE16 20 Rarefaction 0 9.838871 9.322438 10.355303
243 BE16 39 Rarefaction 0 13.870646 13.071845 14.669447
244 BE16 58 Rarefaction 0 16.410256 15.414833 17.405678
245 BE16 77 Rarefaction 0 18.170957 17.033715 19.308199
246 BE16 97 Rarefaction 0 19.523013 18.275366 20.770659
247 BE16 116 Rarefaction 0 20.500838 19.169301 21.832375
248 BE16 135 Rarefaction 0 21.275369 19.869889 22.680848
249 BE16 154 Rarefaction 0 21.904830 20.429496 23.380163
250 BE16 174 Rarefaction 0 22.452784 20.905290 24.000278
251 BE16 193 Rarefaction 0 22.891794 21.276073 24.507515
252 BE16 212 Rarefaction 0 23.270094 21.586455 24.953733
253 BE16 231 Rarefaction 0 23.600869 21.849939 25.351799
254 BE16 250 Rarefaction 0 23.893699 22.076408 25.710990
255 BE16 270 Rarefaction 0 24.168590 22.282574 26.054606
256 BE16 289 Rarefaction 0 24.403287 22.452904 26.353669
257 BE16 308 Rarefaction 0 24.615804 22.601543 26.630066
258 BE16 327 Rarefaction 0 24.808491 22.730191 26.886792
259 BE16 347 Rarefaction 0 24.991379 22.844541 27.138218
260 BE16 348 Observed 0 25.000000 22.849683 27.150317
261 BE16 349 Extrapolation 0 25.008571 22.854771 27.162372
262 BE16 367 Extrapolation 0 25.154722 22.937107 27.372336
263 BE16 385 Extrapolation 0 25.286509 23.002593 27.570425
264 BE16 403 Extrapolation 0 25.405344 23.052398 27.758290
265 BE16 422 Extrapolation 0 25.518135 23.089413 27.946857
266 BE16 440 Extrapolation 0 25.614207 23.111152 28.117261
267 BE16 458 Extrapolation 0 25.700837 23.121262 28.280412
268 BE16 476 Extrapolation 0 25.778953 23.120985 28.436921
269 BE16 495 Extrapolation 0 25.853096 23.110702 28.595490
270 BE16 513 Extrapolation 0 25.916248 23.092607 28.739890
271 BE16 531 Extrapolation 0 25.973195 23.067368 28.879021
272 BE16 549 Extrapolation 0 26.024544 23.035861 29.013228
273 BE16 568 Extrapolation 0 26.073282 22.996675 29.149888
274 BE16 586 Extrapolation 0 26.114795 22.954680 29.274910
275 BE16 604 Extrapolation 0 26.152228 22.908593 29.395864
276 BE16 622 Extrapolation 0 26.185983 22.858984 29.512982
277 BE16 641 Extrapolation 0 26.218021 22.803360 29.632681
278 BE16 659 Extrapolation 0 26.245309 22.748052 29.742567
279 BE16 677 Extrapolation 0 26.269916 22.690616 29.849216
280 BE16 696 Extrapolation 0 26.293271 22.628078 29.958464
281 BE17 1 Rarefaction 0 1.000000 1.000000 1.000000
282 BE17 12 Rarefaction 0 9.239218 8.916541 9.561895
283 BE17 24 Rarefaction 0 14.739250 14.000659 15.477841
284 BE17 35 Rarefaction 0 18.171689 17.164699 19.178679
285 BE17 47 Rarefaction 0 20.939536 19.737421 22.141651
286 BE17 58 Rarefaction 0 22.907156 21.582152 24.232160
287 BE17 70 Rarefaction 0 24.622764 23.199164 26.046363
288 BE17 81 Rarefaction 0 25.898287 24.403556 27.393018
289 BE17 93 Rarefaction 0 27.036050 25.476707 28.595393
290 BE17 104 Rarefaction 0 27.890092 26.279757 29.500426
291 BE17 116 Rarefaction 0 28.652185 26.993067 30.311303
292 BE17 127 Rarefaction 0 29.220580 27.521942 30.919217
293 BE17 139 Rarefaction 0 29.721365 27.984476 31.458254
294 BE17 150 Rarefaction 0 30.087637 28.319547 31.855727
295 BE17 162 Rarefaction 0 30.401422 28.602855 32.199988
296 BE17 173 Rarefaction 0 30.621954 28.798077 32.445831
297 BE17 185 Rarefaction 0 30.800304 28.950838 32.649769
298 BE17 196 Rarefaction 0 30.915086 29.043092 32.787080
299 BE17 208 Rarefaction 0 30.995215 29.098338 32.892093
300 BE17 209 Observed 0 31.000000 29.100983 32.899017
301 BE17 210 Extrapolation 0 31.004524 29.103356 32.905692
302 BE17 220 Extrapolation 0 31.038186 29.114568 32.961803
303 BE17 231 Extrapolation 0 31.058789 29.107379 33.010200
304 BE17 242 Extrapolation 0 31.069907 29.086329 33.053484
305 BE17 253 Extrapolation 0 31.075905 29.055240 33.096570
306 BE17 264 Extrapolation 0 31.079142 29.016384 33.141899
307 BE17 275 Extrapolation 0 31.080888 28.971261 33.190515
308 BE17 286 Extrapolation 0 31.081830 28.920978 33.242683
309 BE17 297 Extrapolation 0 31.082339 28.866433 33.298244
310 BE17 308 Extrapolation 0 31.082613 28.808394 33.356832
311 BE17 319 Extrapolation 0 31.082761 28.747534 33.417988
312 BE17 330 Extrapolation 0 31.082841 28.684451 33.481231
313 BE17 341 Extrapolation 0 31.082884 28.619669 33.546099
314 BE17 352 Extrapolation 0 31.082907 28.553650 33.612164
315 BE17 363 Extrapolation 0 31.082920 28.486794 33.679046
316 BE17 374 Extrapolation 0 31.082927 28.419443 33.746410
317 BE17 385 Extrapolation 0 31.082930 28.351893 33.813968
318 BE17 396 Extrapolation 0 31.082932 28.284391 33.881474
319 BE17 407 Extrapolation 0 31.082933 28.217147 33.948720
320 BE17 418 Extrapolation 0 31.082934 28.150336 34.015532
321 BE18 1 Rarefaction 0 1.000000 1.000000 1.000000
322 BE18 21 Rarefaction 0 12.112884 11.449334 12.776434
323 BE18 41 Rarefaction 0 18.210635 17.029865 19.391405
324 BE18 62 Rarefaction 0 22.736555 21.100808 24.372302
325 BE18 82 Rarefaction 0 26.072384 24.061970 28.082799
326 BE18 103 Rarefaction 0 28.939061 26.580144 31.297977
327 BE18 123 Rarefaction 0 31.252803 28.591583 33.914023
328 BE18 144 Rarefaction 0 33.362580 30.404988 36.320173
329 BE18 164 Rarefaction 0 35.137727 31.911801 38.363652
330 BE18 185 Rarefaction 0 36.807405 33.310170 40.304641
331 BE18 205 Rarefaction 0 38.247899 34.499574 41.996224
332 BE18 225 Rarefaction 0 39.568693 35.574479 43.562907
333 BE18 246 Rarefaction 0 40.848993 36.600477 45.097508
334 BE18 266 Rarefaction 0 41.984018 37.495523 46.472513
335 BE18 287 Rarefaction 0 43.102250 38.362581 47.841919
336 BE18 307 Rarefaction 0 44.108755 39.129231 49.088278
337 BE18 328 Rarefaction 0 45.114332 39.880777 50.347888
338 BE18 348 Rarefaction 0 46.030936 40.551924 51.509947
339 BE18 369 Rarefaction 0 46.956757 41.214748 52.698765
340 BE18 370 Observed 0 47.000000 41.245305 52.754695
341 BE18 371 Extrapolation 0 47.043170 41.275774 52.810567
342 BE18 390 Extrapolation 0 47.849673 41.837949 53.861396
343 BE18 409 Extrapolation 0 48.630655 42.369050 54.892261
344 BE18 429 Extrapolation 0 49.426060 42.895629 55.956490
345 BE18 448 Extrapolation 0 50.157161 43.366077 56.948244
346 BE18 468 Extrapolation 0 50.901762 43.831050 57.972475
347 BE18 487 Extrapolation 0 51.586168 44.245129 58.927208
348 BE18 506 Extrapolation 0 52.248917 44.633331 59.864504
349 BE18 526 Extrapolation 0 52.923905 45.015160 60.832649
350 BE18 545 Extrapolation 0 53.544324 45.353523 61.735124
351 BE18 565 Extrapolation 0 54.176200 45.685191 62.667208
352 BE18 584 Extrapolation 0 54.756993 45.978055 63.535930
353 BE18 604 Extrapolation 0 55.348510 46.264050 64.432971
354 BE18 623 Extrapolation 0 55.892208 46.515580 65.268837
355 BE18 642 Extrapolation 0 56.418702 46.748406 66.088997
356 BE18 662 Extrapolation 0 56.954917 46.974266 66.935569
357 BE18 681 Extrapolation 0 57.447784 47.171470 67.724098
358 BE18 701 Extrapolation 0 57.949751 47.361697 68.537805
359 BE18 720 Extrapolation 0 58.411138 47.526747 69.295530
360 BE18 740 Extrapolation 0 58.881045 47.684830 70.077260
361 BE19 1 Rarefaction 0 1.000000 1.000000 1.000000
362 BE19 20 Rarefaction 0 11.653124 10.978639 12.327609
363 BE19 39 Rarefaction 0 17.536342 16.384353 18.688330
364 BE19 58 Rarefaction 0 21.624550 20.088719 23.160382
365 BE19 77 Rarefaction 0 24.681593 22.838577 26.524609
366 BE19 96 Rarefaction 0 27.060479 24.974702 29.146255
367 BE19 115 Rarefaction 0 28.957737 26.680085 31.235388
368 BE19 134 Rarefaction 0 30.494614 28.063988 32.925241
369 BE19 153 Rarefaction 0 31.751758 29.197559 34.305957
370 BE19 172 Rarefaction 0 32.786321 30.130572 35.442071
371 BE19 191 Rarefaction 0 33.640998 30.899894 36.382101
372 BE19 210 Rarefaction 0 34.349033 31.534109 37.163957
373 BE19 229 Rarefaction 0 34.937175 32.056220 37.818129
374 BE19 248 Rarefaction 0 35.427491 32.485304 38.369678
375 BE19 267 Rarefaction 0 35.838555 32.837537 38.839573
376 BE19 286 Rarefaction 0 36.186226 33.126817 39.245635
377 BE19 305 Rarefaction 0 36.484182 33.365124 39.603241
378 BE19 324 Rarefaction 0 36.744274 33.562719 39.925829
379 BE19 344 Rarefaction 0 36.988406 33.736208 40.240604
380 BE19 345 Observed 0 37.000000 33.744104 40.255896
381 BE19 346 Extrapolation 0 37.011544 33.751931 40.271156
382 BE19 364 Extrapolation 0 37.210970 33.881302 40.540639
383 BE19 382 Extrapolation 0 37.395374 33.989875 40.800874
384 BE19 400 Extrapolation 0 37.565887 34.079193 41.052582
385 BE19 418 Extrapolation 0 37.723556 34.150792 41.296319
386 BE19 436 Extrapolation 0 37.869347 34.206171 41.532523
387 BE19 454 Extrapolation 0 38.004156 34.246764 41.761547
388 BE19 472 Extrapolation 0 38.128809 34.273940 41.983679
389 BE19 490 Extrapolation 0 38.244073 34.288985 42.199161
390 BE19 508 Extrapolation 0 38.350654 34.293103 42.408205
391 BE19 527 Extrapolation 0 38.454458 34.286829 42.622087
392 BE19 545 Extrapolation 0 38.545191 34.271902 42.818480
393 BE19 563 Extrapolation 0 38.629089 34.249193 43.008984
394 BE19 581 Extrapolation 0 38.706667 34.219565 43.193769
395 BE19 599 Extrapolation 0 38.778401 34.183798 43.373003
396 BE19 617 Extrapolation 0 38.844731 34.142606 43.546856
397 BE19 635 Extrapolation 0 38.906065 34.096629 43.715500
398 BE19 653 Extrapolation 0 38.962778 34.046451 43.879105
399 BE19 671 Extrapolation 0 39.015219 33.992596 44.037843
400 BE19 690 Extrapolation 0 39.066295 33.932280 44.200309
401 BE2 1 Rarefaction 0 1.000000 1.000000 1.000000
402 BE2 25 Rarefaction 0 13.023076 12.438740 13.607412
403 BE2 49 Rarefaction 0 17.407399 16.412551 18.402247
404 BE2 73 Rarefaction 0 19.980530 18.713393 21.247666
405 BE2 97 Rarefaction 0 21.838222 20.345664 23.330780
406 BE2 121 Rarefaction 0 23.304229 21.606423 25.002035
407 BE2 145 Rarefaction 0 24.518636 22.632738 26.404533
408 BE2 169 Rarefaction 0 25.557721 23.501469 27.613974
409 BE2 193 Rarefaction 0 26.467683 24.258282 28.677085
410 BE2 217 Rarefaction 0 27.278150 24.931072 29.625229
411 BE2 241 Rarefaction 0 28.008871 25.537274 30.480469
412 BE2 265 Rarefaction 0 28.673349 26.087944 31.258754
413 BE2 289 Rarefaction 0 29.280941 26.590061 31.971822
414 BE2 313 Rarefaction 0 29.838156 27.047878 32.628433
415 BE2 337 Rarefaction 0 30.349501 27.463777 33.235225
416 BE2 361 Rarefaction 0 30.818092 27.838850 33.797333
417 BE2 385 Rarefaction 0 31.246090 28.173334 34.318846
418 BE2 409 Rarefaction 0 31.635050 28.466944 34.803156
419 BE2 433 Rarefaction 0 31.986175 28.719130 35.253220
420 BE2 434 Observed 0 32.000000 28.728730 35.271270
421 BE2 435 Extrapolation 0 32.013761 28.738256 35.289267
422 BE2 457 Extrapolation 0 32.301007 28.929316 35.672697
423 BE2 480 Extrapolation 0 32.571742 29.092433 36.051051
424 BE2 503 Extrapolation 0 32.815250 29.220427 36.410072
425 BE2 526 Extrapolation 0 33.034269 29.316041 36.752496
426 BE2 548 Extrapolation 0 33.223124 29.379867 37.066381
427 BE2 571 Extrapolation 0 33.401124 29.420496 37.381753
428 BE2 594 Extrapolation 0 33.561224 29.437198 37.685249
429 BE2 617 Extrapolation 0 33.705222 29.432607 37.977837
430 BE2 640 Extrapolation 0 33.834739 29.409168 38.260311
431 BE2 662 Extrapolation 0 33.946419 29.371179 38.521659
432 BE2 685 Extrapolation 0 34.051680 29.317156 38.786203
433 BE2 708 Extrapolation 0 34.146354 29.250327 39.042382
434 BE2 731 Extrapolation 0 34.231508 29.172356 39.290660
435 BE2 754 Extrapolation 0 34.308098 29.084732 39.531464
436 BE2 776 Extrapolation 0 34.374140 28.993115 39.755165
437 BE2 799 Extrapolation 0 34.436386 28.890323 39.982448
438 BE2 822 Extrapolation 0 34.492372 28.781412 40.203331
439 BE2 845 Extrapolation 0 34.542727 28.667324 40.418131
440 BE2 868 Extrapolation 0 34.588019 28.548898 40.627139
441 BE20 1 Rarefaction 0 1.000000 1.000000 1.000000
442 BE20 9 Rarefaction 0 4.998871 4.461171 5.536570
443 BE20 17 Rarefaction 0 7.549573 6.678285 8.420860
444 BE20 25 Rarefaction 0 9.491694 8.340793 10.642594
445 BE20 33 Rarefaction 0 11.025323 9.624641 12.426005
446 BE20 41 Rarefaction 0 12.273575 10.643286 13.903864
447 BE20 50 Rarefaction 0 13.433704 11.559921 15.307487
448 BE20 58 Rarefaction 0 14.304538 12.221015 16.388061
449 BE20 66 Rarefaction 0 15.061033 12.769900 17.352166
450 BE20 74 Rarefaction 0 15.728438 13.229470 18.227406
451 BE20 82 Rarefaction 0 16.325805 13.617620 19.033990
452 BE20 90 Rarefaction 0 16.867926 13.948748 19.787105
453 BE20 99 Rarefaction 0 17.426259 14.267612 20.584906
454 BE20 107 Rarefaction 0 17.886975 14.513776 21.260173
455 BE20 115 Rarefaction 0 18.321915 14.732723 21.911106
456 BE20 123 Rarefaction 0 18.737000 14.930415 22.543585
457 BE20 131 Rarefaction 0 19.136982 15.111523 23.162442
458 BE20 139 Rarefaction 0 19.525643 15.279633 23.771654
459 BE20 148 Rarefaction 0 19.953020 15.456530 24.449510
460 BE20 149 Observed 0 20.000000 15.475505 24.524495
461 BE20 150 Extrapolation 0 20.046889 15.494347 24.599431
462 BE20 157 Extrapolation 0 20.372595 15.622573 25.122616
463 BE20 165 Extrapolation 0 20.739485 15.761426 25.717544
464 BE20 173 Extrapolation 0 21.100758 15.892414 26.309101
465 BE20 181 Extrapolation 0 21.456499 16.015936 26.897063
466 BE20 188 Extrapolation 0 21.763302 16.118212 27.408393
467 BE20 196 Extrapolation 0 22.108900 16.228815 27.988984
468 BE20 204 Extrapolation 0 22.449206 16.333069 28.565343
469 BE20 212 Extrapolation 0 22.784301 16.431310 29.137293
470 BE20 220 Extrapolation 0 23.114267 16.523849 29.704684
471 BE20 227 Extrapolation 0 23.398839 16.600365 30.197313
472 BE20 235 Extrapolation 0 23.719395 16.682954 30.755837
473 BE20 243 Extrapolation 0 24.035044 16.760591 31.309496
474 BE20 251 Extrapolation 0 24.345859 16.833496 31.858222
475 BE20 259 Extrapolation 0 24.651916 16.901874 32.401957
476 BE20 266 Extrapolation 0 24.915869 16.958142 32.873596
477 BE20 274 Extrapolation 0 25.213198 17.018535 33.407862
478 BE20 282 Extrapolation 0 25.505975 17.074916 33.937035
479 BE20 290 Extrapolation 0 25.794270 17.127442 34.461098
480 BE20 298 Extrapolation 0 26.078150 17.176262 34.980039
481 BE21 1 Rarefaction 0 1.000000 1.000000 1.000000
482 BE21 21 Rarefaction 0 13.115679 12.548797 13.682560
483 BE21 42 Rarefaction 0 19.201210 18.181197 20.221223
484 BE21 63 Rarefaction 0 22.873653 21.524226 24.223080
485 BE21 83 Rarefaction 0 25.261995 23.646650 26.877339
486 BE21 104 Rarefaction 0 27.101914 25.238950 28.964877
487 BE21 125 Rarefaction 0 28.509440 26.425789 30.593090
488 BE21 145 Rarefaction 0 29.577591 27.306214 31.848969
489 BE21 166 Rarefaction 0 30.494988 28.047470 32.942505
490 BE21 187 Rarefaction 0 31.257564 28.652608 33.862521
491 BE21 207 Rarefaction 0 31.874714 29.134739 34.614690
492 BE21 228 Rarefaction 0 32.434287 29.565953 35.302621
493 BE21 249 Rarefaction 0 32.922967 29.938110 35.907825
494 BE21 269 Rarefaction 0 33.336297 30.250044 36.422550
495 BE21 290 Rarefaction 0 33.726760 30.542893 36.910627
496 BE21 311 Rarefaction 0 34.081608 30.808168 37.355047
497 BE21 331 Rarefaction 0 34.393189 31.041083 37.745294
498 BE21 352 Rarefaction 0 34.698527 31.269985 38.127070
499 BE21 373 Rarefaction 0 34.986631 31.487151 38.486111
500 BE21 374 Observed 0 35.000000 31.497265 38.502735
501 BE21 375 Extrapolation 0 35.013340 31.507362 38.519319
502 BE21 394 Extrapolation 0 35.261452 31.695696 38.827208
503 BE21 414 Extrapolation 0 35.511937 31.886250 39.137624
504 BE21 433 Extrapolation 0 35.740160 32.059335 39.420985
505 BE21 453 Extrapolation 0 35.970566 32.232608 39.708524
506 BE21 473 Extrapolation 0 36.191308 32.396288 39.986328
507 BE21 492 Extrapolation 0 36.392431 32.542604 40.242257
508 BE21 512 Extrapolation 0 36.595478 32.686771 40.504184
509 BE21 532 Extrapolation 0 36.790008 32.820754 40.759263
510 BE21 551 Extrapolation 0 36.967249 32.938622 40.995876
511 BE21 571 Extrapolation 0 37.146186 33.052886 41.239485
512 BE21 590 Extrapolation 0 37.309219 33.152285 41.466152
513 BE21 610 Extrapolation 0 37.473812 33.247518 41.700105
514 BE21 630 Extrapolation 0 37.631501 33.333405 41.929597
515 BE21 649 Extrapolation 0 37.775175 33.406648 42.143702
516 BE21 669 Extrapolation 0 37.920223 33.475309 42.365138
517 BE21 689 Extrapolation 0 38.059188 33.535696 42.582680
518 BE21 708 Extrapolation 0 38.185802 33.585766 42.785837
519 BE21 728 Extrapolation 0 38.313627 33.631179 42.996075
520 BE21 748 Extrapolation 0 38.436091 33.669511 43.202670
521 BE22 1 Rarefaction 0 1.000000 1.000000 1.000000
522 BE22 13 Rarefaction 0 7.899465 7.404590 8.394339
523 BE22 26 Rarefaction 0 11.603777 10.750745 12.456809
524 BE22 39 Rarefaction 0 13.950397 12.798127 15.102666
525 BE22 52 Rarefaction 0 15.644976 14.258014 17.031938
526 BE22 64 Rarefaction 0 16.872635 15.320418 18.424851
527 BE22 77 Rarefaction 0 17.957380 16.268313 19.646448
528 BE22 90 Rarefaction 0 18.852567 17.057818 20.647316
529 BE22 103 Rarefaction 0 19.599490 17.720324 21.478657
530 BE22 116 Rarefaction 0 20.226705 18.277396 22.176014
531 BE22 128 Rarefaction 0 20.718151 18.712640 22.723662
532 BE22 141 Rarefaction 0 21.171919 19.111783 23.232056
533 BE22 154 Rarefaction 0 21.557731 19.447359 23.668102
534 BE22 167 Rarefaction 0 21.887440 19.729646 24.045235
535 BE22 179 Rarefaction 0 22.150670 19.950489 24.350851
536 BE22 192 Rarefaction 0 22.399347 20.153654 24.645040
537 BE22 205 Rarefaction 0 22.617351 20.325416 24.909285
538 BE22 218 Rarefaction 0 22.811278 20.471118 25.151438
539 BE22 231 Rarefaction 0 22.987069 20.595337 25.378800
540 BE22 232 Observed 0 23.000000 20.604121 25.395879
541 BE22 233 Extrapolation 0 23.012857 20.612798 25.412916
542 BE22 245 Extrapolation 0 23.161503 20.708485 25.614521
543 BE22 257 Extrapolation 0 23.300229 20.788464 25.811995
544 BE22 269 Extrapolation 0 23.429698 20.853084 26.006312
545 BE22 281 Extrapolation 0 23.550527 20.903110 26.197944
546 BE22 293 Extrapolation 0 23.663292 20.939518 26.387066
547 BE22 305 Extrapolation 0 23.768532 20.963376 26.573688
548 BE22 318 Extrapolation 0 23.874632 20.976329 26.772935
549 BE22 330 Extrapolation 0 23.965768 20.977532 26.954004
550 BE22 342 Extrapolation 0 24.050823 20.969469 27.132177
551 BE22 354 Extrapolation 0 24.130201 20.953102 27.307300
552 BE22 366 Extrapolation 0 24.204283 20.929327 27.479238
553 BE22 378 Extrapolation 0 24.273420 20.898966 27.647875
554 BE22 391 Extrapolation 0 24.343123 20.859509 27.826737
555 BE22 403 Extrapolation 0 24.402995 20.817752 27.988238
556 BE22 415 Extrapolation 0 24.458872 20.771502 28.146242
557 BE22 427 Extrapolation 0 24.511020 20.721307 28.300732
558 BE22 439 Extrapolation 0 24.559688 20.667663 28.451712
559 BE22 451 Extrapolation 0 24.605108 20.611012 28.599203
560 BE22 464 Extrapolation 0 24.650899 20.546710 28.755088
561 BE23 1 Rarefaction 0 1.000000 1.000000 1.000000
562 BE23 13 Rarefaction 0 7.303662 6.823256 7.784067
563 BE23 25 Rarefaction 0 10.396894 9.587014 11.206775
564 BE23 37 Rarefaction 0 12.413750 11.349540 13.477960
565 BE23 49 Rarefaction 0 13.902563 12.632395 15.172730
566 BE23 62 Rarefaction 0 15.168013 13.706966 16.629061
567 BE23 74 Rarefaction 0 16.118072 14.498075 17.738068
568 BE23 86 Rarefaction 0 16.910940 15.141842 18.680037
569 BE23 98 Rarefaction 0 17.578553 15.666599 19.490508
570 BE23 111 Rarefaction 0 18.187333 16.125287 20.249380
571 BE23 123 Rarefaction 0 18.663242 16.465686 20.860799
572 BE23 135 Rarefaction 0 19.072157 16.741276 21.403039
573 BE23 147 Rarefaction 0 19.426951 16.964487 21.889415
574 BE23 159 Rarefaction 0 19.738685 17.146051 22.331318
575 BE23 172 Rarefaction 0 20.038857 17.306413 22.771301
576 BE23 184 Rarefaction 0 20.290118 17.429275 23.150960
577 BE23 196 Rarefaction 0 20.523969 17.534756 23.513182
578 BE23 208 Rarefaction 0 20.746715 17.628377 23.865052
579 BE23 221 Rarefaction 0 20.981982 17.721754 24.242210
580 BE23 222 Observed 0 21.000000 17.728730 24.271270
581 BE23 223 Extrapolation 0 21.017964 17.735626 24.300302
582 BE23 234 Extrapolation 0 21.212036 17.806248 24.617824
583 BE23 246 Extrapolation 0 21.416544 17.872689 24.960400
584 BE23 257 Extrapolation 0 21.597627 17.924377 25.270876
585 BE23 269 Extrapolation 0 21.788447 17.971332 25.605562
586 BE23 281 Extrapolation 0 21.972493 18.009118 25.935869
587 BE23 292 Extrapolation 0 22.135458 18.036294 26.234621
588 BE23 304 Extrapolation 0 22.307185 18.058427 26.555944
589 BE23 316 Extrapolation 0 22.472817 18.073343 26.872291
590 BE23 327 Extrapolation 0 22.619476 18.081192 27.157759
591 BE23 339 Extrapolation 0 22.774021 18.083925 27.464117
592 BE23 350 Extrapolation 0 22.910864 18.081521 27.740207
593 BE23 362 Extrapolation 0 23.055065 18.073990 28.036141
594 BE23 374 Extrapolation 0 23.194148 18.061770 28.326526
595 BE23 385 Extrapolation 0 23.317299 18.046796 28.587801
596 BE23 397 Extrapolation 0 23.447072 18.026695 28.867449
597 BE23 409 Extrapolation 0 23.572239 18.002997 29.141481
598 BE23 420 Extrapolation 0 23.683068 17.978382 29.387753
599 BE23 432 Extrapolation 0 23.799857 17.948645 29.651069
600 BE23 444 Extrapolation 0 23.912500 17.916153 29.908846
601 BE24 1 Rarefaction 0 1.000000 1.000000 1.000000
602 BE24 18 Rarefaction 0 6.864988 6.188638 7.541338
603 BE24 35 Rarefaction 0 10.030663 8.983404 11.077923
604 BE24 52 Rarefaction 0 12.141490 10.839944 13.443036
605 BE24 69 Rarefaction 0 13.673474 12.182840 15.164109
606 BE24 87 Rarefaction 0 14.906927 13.260050 16.553805
607 BE24 104 Rarefaction 0 15.825390 14.059674 17.591106
608 BE24 121 Rarefaction 0 16.572932 14.708966 18.436897
609 BE24 138 Rarefaction 0 17.191822 15.245375 19.138268
610 BE24 156 Rarefaction 0 17.738221 15.717744 19.758698
611 BE24 173 Rarefaction 0 18.172099 16.091452 20.252745
612 BE24 190 Rarefaction 0 18.540800 16.407221 20.674378
613 BE24 207 Rarefaction 0 18.855179 16.673994 21.036364
614 BE24 224 Rarefaction 0 19.123735 16.898494 21.348975
615 BE24 242 Rarefaction 0 19.365698 17.095771 21.635625
616 BE24 259 Rarefaction 0 19.560013 17.247949 21.872077
617 BE24 276 Rarefaction 0 19.725817 17.369961 22.081673
618 BE24 293 Rarefaction 0 19.867040 17.464091 22.269990
619 BE24 311 Rarefaction 0 19.993590 17.535443 22.451737
620 BE24 312 Observed 0 20.000000 17.538592 22.461408
621 BE24 313 Extrapolation 0 20.006349 17.541665 22.471034
622 BE24 329 Extrapolation 0 20.100065 17.580884 22.619245
623 BE24 345 Extrapolation 0 20.180437 17.603015 22.757858
624 BE24 362 Extrapolation 0 20.253331 17.610378 22.896285
625 BE24 378 Extrapolation 0 20.311880 17.604376 23.019385
626 BE24 394 Extrapolation 0 20.362093 17.587833 23.136353
627 BE24 411 Extrapolation 0 20.407634 17.560649 23.254619
628 BE24 427 Extrapolation 0 20.444212 17.527620 23.360804
629 BE24 443 Extrapolation 0 20.475582 17.488715 23.462450
630 BE24 460 Extrapolation 0 20.504034 17.442193 23.565875
631 BE24 476 Extrapolation 0 20.526886 17.394536 23.659237
632 BE24 493 Extrapolation 0 20.547613 17.340708 23.754518
633 BE24 509 Extrapolation 0 20.564260 17.287758 23.840762
634 BE24 525 Extrapolation 0 20.578537 17.233174 23.923900
635 BE24 542 Extrapolation 0 20.591486 17.173922 24.009049
636 BE24 558 Extrapolation 0 20.601886 17.117395 24.086378
637 BE24 574 Extrapolation 0 20.610806 17.060469 24.161143
638 BE24 591 Extrapolation 0 20.618896 16.999856 24.237935
639 BE24 607 Extrapolation 0 20.625393 16.942927 24.307859
640 BE24 624 Extrapolation 0 20.631286 16.882779 24.379794
641 BE25 1 Rarefaction 0 1.000000 1.000000 1.000000
642 BE25 14 Rarefaction 0 8.523522 7.998842 9.048201
643 BE25 27 Rarefaction 0 12.536058 11.633018 13.439099
644 BE25 40 Rarefaction 0 15.249265 14.017670 16.480860
645 BE25 53 Rarefaction 0 17.287512 15.765924 18.809100
646 BE25 66 Rarefaction 0 18.925222 17.145193 20.705252
647 BE25 79 Rarefaction 0 20.299450 18.288681 22.310219
648 BE25 92 Rarefaction 0 21.486615 19.270787 23.702444
649 BE25 105 Rarefaction 0 22.533260 20.136202 24.930317
650 BE25 118 Rarefaction 0 23.469568 20.912821 26.026314
651 BE25 131 Rarefaction 0 24.315982 21.618332 27.013631
652 BE25 144 Rarefaction 0 25.086767 22.263947 27.909587
653 BE25 157 Rarefaction 0 25.792078 22.856630 28.727527
654 BE25 170 Rarefaction 0 26.439213 23.400464 29.477962
655 BE25 183 Rarefaction 0 27.033413 23.897511 30.169315
656 BE25 196 Rarefaction 0 27.578409 24.348383 30.808435
657 BE25 209 Rarefaction 0 28.076819 24.752655 31.400984
658 BE25 222 Rarefaction 0 28.530470 25.109188 31.951753
659 BE25 236 Rarefaction 0 28.970464 25.437961 32.502968
660 BE25 237 Observed 0 29.000000 25.459200 32.540800
661 BE25 238 Extrapolation 0 29.029288 25.480138 32.578438
662 BE25 250 Extrapolation 0 29.362122 25.708549 33.015695
663 BE25 262 Extrapolation 0 29.662902 25.896938 33.428865
664 BE25 275 Extrapolation 0 29.956147 26.059536 33.852758
665 BE25 287 Extrapolation 0 30.199717 26.174750 34.224685
666 BE25 300 Extrapolation 0 30.437187 26.265532 34.608842
667 BE25 312 Extrapolation 0 30.634429 26.321163 34.947696
668 BE25 324 Extrapolation 0 30.812676 26.352706 35.272645
669 BE25 337 Extrapolation 0 30.986458 26.362798 35.610117
670 BE25 349 Extrapolation 0 31.130801 26.352524 35.909078
671 BE25 362 Extrapolation 0 31.271529 26.322844 36.220214
672 BE25 374 Extrapolation 0 31.388418 26.280494 36.496342
673 BE25 387 Extrapolation 0 31.502379 26.220583 36.784175
674 BE25 399 Extrapolation 0 31.597035 26.154069 37.040002
675 BE25 411 Extrapolation 0 31.682576 26.078283 37.286869
676 BE25 424 Extrapolation 0 31.765973 25.987210 37.544736
677 BE25 436 Extrapolation 0 31.835243 25.896086 37.774400
678 BE25 449 Extrapolation 0 31.902778 25.790928 38.014628
679 BE25 461 Extrapolation 0 31.958873 25.688869 38.228877
680 BE25 474 Extrapolation 0 32.013563 25.573837 38.453289
681 BE26 1 Rarefaction 0 1.000000 1.000000 1.000000
682 BE26 17 Rarefaction 0 8.294868 7.744262 8.845473
683 BE26 34 Rarefaction 0 12.173887 11.309997 13.037777
684 BE26 51 Rarefaction 0 14.750614 13.641915 15.859314
685 BE26 68 Rarefaction 0 16.650578 15.330579 17.970578
686 BE26 85 Rarefaction 0 18.136338 16.635444 19.637232
687 BE26 102 Rarefaction 0 19.343970 17.689806 20.998133
688 BE26 118 Rarefaction 0 20.298432 18.521179 22.075684
689 BE26 135 Rarefaction 0 21.167953 19.277826 23.058081
690 BE26 152 Rarefaction 0 21.922608 19.933870 23.911346
691 BE26 169 Rarefaction 0 22.586843 20.510235 24.663451
692 BE26 186 Rarefaction 0 23.178150 21.021583 25.334718
693 BE26 203 Rarefaction 0 23.709207 21.478313 25.940102
694 BE26 219 Rarefaction 0 24.162274 21.864893 26.459656
695 BE26 236 Rarefaction 0 24.600383 22.234545 26.966220
696 BE26 253 Rarefaction 0 24.998639 22.565257 27.432021
697 BE26 270 Rarefaction 0 25.360463 22.859211 27.861715
698 BE26 287 Rarefaction 0 25.688233 23.117599 28.258866
699 BE26 304 Rarefaction 0 25.983607 23.340862 28.626351
700 BE26 305 Observed 0 26.000000 23.352901 28.647099
701 BE26 306 Extrapolation 0 26.016286 23.364818 28.667754
702 BE26 322 Extrapolation 0 26.262853 23.539479 28.986227
703 BE26 338 Extrapolation 0 26.484861 23.685600 29.284121
704 BE26 354 Extrapolation 0 26.684756 23.805491 29.564022
705 BE26 370 Extrapolation 0 26.864742 23.901402 29.828081
706 BE26 386 Extrapolation 0 27.026800 23.975509 30.078092
707 BE26 402 Extrapolation 0 27.172718 24.029890 30.315545
708 BE26 418 Extrapolation 0 27.304101 24.066510 30.541693
709 BE26 434 Extrapolation 0 27.422399 24.087210 30.757588
710 BE26 450 Extrapolation 0 27.528914 24.093697 30.964130
711 BE26 466 Extrapolation 0 27.624819 24.087546 31.162093
712 BE26 482 Extrapolation 0 27.711173 24.070196 31.352149
713 BE26 498 Extrapolation 0 27.788925 24.042962 31.534888
714 BE26 514 Extrapolation 0 27.858933 24.007032 31.710834
715 BE26 530 Extrapolation 0 27.921968 23.963482 31.880454
716 BE26 546 Extrapolation 0 27.978725 23.913281 32.044169
717 BE26 562 Extrapolation 0 28.029829 23.857301 32.202356
718 BE26 578 Extrapolation 0 28.075842 23.796321 32.355363
719 BE26 594 Extrapolation 0 28.117273 23.731042 32.503503
720 BE26 610 Extrapolation 0 28.154577 23.662090 32.647064
721 BE27 1 Rarefaction 0 1.000000 1.000000 1.000000
722 BE27 18 Rarefaction 0 10.875748 10.344612 11.406884
723 BE27 35 Rarefaction 0 15.893033 14.874994 16.911072
724 BE27 52 Rarefaction 0 19.289489 17.831312 20.747666
725 BE27 69 Rarefaction 0 21.893524 20.050400 23.736647
726 BE27 87 Rarefaction 0 24.154244 21.955924 26.352564
727 BE27 104 Rarefaction 0 25.985420 23.489718 28.481121
728 BE27 121 Rarefaction 0 27.606656 24.841234 30.372079
729 BE27 138 Rarefaction 0 29.066564 26.052404 32.080723
730 BE27 156 Rarefaction 0 30.470593 27.210682 33.730505
731 BE27 173 Rarefaction 0 31.684712 28.205751 35.163674
732 BE27 190 Rarefaction 0 32.805831 29.117859 36.493804
733 BE27 207 Rarefaction 0 33.846082 29.957063 37.735101
734 BE27 224 Rarefaction 0 34.815559 30.731686 38.899431
735 BE27 242 Rarefaction 0 35.774585 31.489385 40.059785
736 BE27 259 Rarefaction 0 36.624652 32.152472 41.096833
737 BE27 276 Rarefaction 0 37.427632 32.770114 42.085149
738 BE27 293 Rarefaction 0 38.189723 33.347162 43.032284
739 BE27 311 Rarefaction 0 38.958333 33.918715 43.997951
740 BE27 312 Observed 0 39.000000 33.949371 44.050629
741 BE27 313 Extrapolation 0 39.041564 33.979915 44.103212
742 BE27 329 Extrapolation 0 39.692809 34.453724 44.931895
743 BE27 345 Extrapolation 0 40.318816 34.900109 45.737523
744 BE27 362 Extrapolation 0 40.957387 35.345386 46.569388
745 BE27 378 Extrapolation 0 41.534385 35.738167 47.330604
746 BE27 394 Extrapolation 0 42.089022 36.106432 48.071612
747 BE27 411 Extrapolation 0 42.654791 36.471961 48.837620
748 BE27 427 Extrapolation 0 43.166006 36.792806 49.539207
749 BE27 443 Extrapolation 0 43.657410 37.092199 50.222622
750 BE27 460 Extrapolation 0 44.158677 37.387921 50.929433
751 BE27 476 Extrapolation 0 44.611610 37.646225 51.576994
752 BE27 493 Extrapolation 0 45.073633 37.900510 52.246757
753 BE27 509 Extrapolation 0 45.491107 38.121860 52.860355
754 BE27 525 Extrapolation 0 45.892402 38.326716 53.458089
755 BE27 542 Extrapolation 0 46.301752 38.527299 54.076204
756 BE27 558 Extrapolation 0 46.671630 38.700911 54.642350
757 BE27 574 Extrapolation 0 47.027174 38.860647 55.193702
758 BE27 591 Extrapolation 0 47.389854 39.016040 55.763669
759 BE27 607 Extrapolation 0 47.717564 39.149595 56.285533
760 BE27 624 Extrapolation 0 48.051851 39.278817 56.824885
761 BE28 1 Rarefaction 0 1.000000 1.000000 1.000000
762 BE28 15 Rarefaction 0 9.699114 9.243426 10.154801
763 BE28 30 Rarefaction 0 14.392769 13.417352 15.368186
764 BE28 45 Rarefaction 0 17.418904 16.020367 18.817442
765 BE28 59 Rarefaction 0 19.488162 17.769941 21.206382
766 BE28 74 Rarefaction 0 21.213806 19.214731 23.212881
767 BE28 89 Rarefaction 0 22.600171 20.369011 24.831331
768 BE28 104 Rarefaction 0 23.748697 21.323268 26.174127
769 BE28 118 Rarefaction 0 24.662033 22.082415 27.241651
770 BE28 133 Rarefaction 0 25.509951 22.788534 28.231368
771 BE28 148 Rarefaction 0 26.250541 23.406850 29.094233
772 BE28 162 Rarefaction 0 26.863022 23.919258 29.806786
773 BE28 177 Rarefaction 0 27.449458 24.410187 30.488729
774 BE28 192 Rarefaction 0 27.975553 24.849781 31.101325
775 BE28 207 Rarefaction 0 28.451234 25.245042 31.657425
776 BE28 221 Rarefaction 0 28.857092 25.578920 32.135265
777 BE28 236 Rarefaction 0 29.257896 25.903463 32.612329
778 BE28 251 Rarefaction 0 29.629571 26.197366 33.061776
779 BE28 266 Rarefaction 0 29.977528 26.463684 33.491373
780 BE28 267 Observed 0 30.000000 26.480519 33.519481
781 BE28 268 Extrapolation 0 30.022388 26.497241 33.547534
782 BE28 282 Extrapolation 0 30.327153 26.719402 33.934905
783 BE28 296 Extrapolation 0 30.616322 26.919330 34.313313
784 BE28 310 Extrapolation 0 30.890692 27.097455 34.683929
785 BE28 324 Extrapolation 0 31.151020 27.254527 35.047513
786 BE28 338 Extrapolation 0 31.398026 27.391527 35.404524
787 BE28 352 Extrapolation 0 31.632391 27.509575 35.755206
788 BE28 366 Extrapolation 0 31.854761 27.609868 36.099655
789 BE28 380 Extrapolation 0 32.065752 27.693628 36.437875
790 BE28 394 Extrapolation 0 32.265944 27.762068 36.769820
791 BE28 408 Extrapolation 0 32.455891 27.816365 37.095418
792 BE28 422 Extrapolation 0 32.636118 27.857643 37.414593
793 BE28 436 Extrapolation 0 32.807121 27.886961 37.727281
794 BE28 450 Extrapolation 0 32.969372 27.905313 38.033432
795 BE28 464 Extrapolation 0 33.123321 27.913622 38.333019
796 BE28 478 Extrapolation 0 33.269390 27.912743 38.626037
797 BE28 492 Extrapolation 0 33.407984 27.903464 38.912505
798 BE28 506 Extrapolation 0 33.539485 27.886509 39.192461
799 BE28 520 Extrapolation 0 33.664257 27.862547 39.465967
800 BE28 534 Extrapolation 0 33.782643 27.832189 39.733097
801 BE29 1 Rarefaction 0 1.000000 1.000000 1.000000
802 BE29 14 Rarefaction 0 8.453726 8.016924 8.890528
803 BE29 27 Rarefaction 0 12.155709 11.449125 12.862293
804 BE29 41 Rarefaction 0 14.623942 13.704106 15.543778
805 BE29 54 Rarefaction 0 16.162181 15.085251 17.239111
806 BE29 67 Rarefaction 0 17.277251 16.075024 18.479478
807 BE29 81 Rarefaction 0 18.184816 16.872887 19.496745
808 BE29 94 Rarefaction 0 18.848821 17.450767 20.246876
809 BE29 108 Rarefaction 0 19.431024 17.951425 20.910623
810 BE29 121 Rarefaction 0 19.880895 18.332456 21.429334
811 BE29 134 Rarefaction 0 20.263635 18.650507 21.876763
812 BE29 148 Rarefaction 0 20.616017 18.935713 22.296320
813 BE29 161 Rarefaction 0 20.897785 19.155792 22.639778
814 BE29 175 Rarefaction 0 21.160429 19.351288 22.969571
815 BE29 188 Rarefaction 0 21.371946 19.498738 23.245153
816 BE29 201 Rarefaction 0 21.556356 19.616637 23.496076
817 BE29 215 Rarefaction 0 21.728161 19.713386 23.742936
818 BE29 228 Rarefaction 0 21.865443 19.777273 23.953613
819 BE29 242 Rarefaction 0 21.991770 19.820077 24.163462
820 BE29 243 Observed 0 22.000000 19.822151 24.177849
821 BE29 244 Extrapolation 0 22.008130 19.824115 24.192144
822 BE29 256 Extrapolation 0 22.098259 19.839460 24.357058
823 BE29 269 Extrapolation 0 22.181976 19.840356 24.523597
824 BE29 282 Extrapolation 0 22.253303 19.827143 24.679463
825 BE29 294 Extrapolation 0 22.309737 19.804390 24.815085
826 BE29 307 Extrapolation 0 22.362156 19.770269 24.954043
827 BE29 320 Extrapolation 0 22.406817 19.728111 25.085523
828 BE29 333 Extrapolation 0 22.444868 19.679529 25.210208
829 BE29 345 Extrapolation 0 22.474974 19.630168 25.319780
830 BE29 358 Extrapolation 0 22.502938 19.572890 25.432987
831 BE29 371 Extrapolation 0 22.526764 19.512600 25.540927
832 BE29 384 Extrapolation 0 22.547063 19.450112 25.644014
833 BE29 396 Extrapolation 0 22.563124 19.391062 25.735185
834 BE29 409 Extrapolation 0 22.578042 19.326134 25.829949
835 BE29 422 Extrapolation 0 22.590752 19.260664 25.920841
836 BE29 435 Extrapolation 0 22.601581 19.195034 26.008129
837 BE29 447 Extrapolation 0 22.610149 19.134584 26.085714
838 BE29 460 Extrapolation 0 22.618108 19.069483 26.166732
839 BE29 473 Extrapolation 0 22.624888 19.004991 26.244786
840 BE29 486 Extrapolation 0 22.630665 18.941279 26.320051
841 BE3 1 Rarefaction 0 1.000000 1.000000 1.000000
842 BE3 17 Rarefaction 0 12.399461 11.844781 12.954140
843 BE3 33 Rarefaction 0 18.989242 17.805602 20.172881
844 BE3 49 Rarefaction 0 23.367750 21.719217 25.016282
845 BE3 65 Rarefaction 0 26.515115 24.518671 28.511559
846 BE3 82 Rarefaction 0 29.013965 26.730015 31.297915
847 BE3 98 Rarefaction 0 30.833874 28.330695 33.337052
848 BE3 114 Rarefaction 0 32.297183 29.608846 34.985520
849 BE3 130 Rarefaction 0 33.506064 30.656363 36.355766
850 BE3 147 Rarefaction 0 34.588193 31.585090 37.591297
851 BE3 163 Rarefaction 0 35.464880 32.328973 38.600787
852 BE3 179 Rarefaction 0 36.236232 32.974929 39.497535
853 BE3 195 Rarefaction 0 36.924028 33.541999 40.306057
854 BE3 211 Rarefaction 0 37.543707 34.043600 41.043814
855 BE3 228 Rarefaction 0 38.139947 34.515623 41.764270
856 BE3 244 Rarefaction 0 38.651286 34.910074 42.392498
857 BE3 260 Rarefaction 0 39.120701 35.261800 42.979602
858 BE3 276 Rarefaction 0 39.553061 35.575059 43.531064
859 BE3 293 Rarefaction 0 39.976190 35.869533 44.082848
860 BE3 294 Observed 0 40.000000 35.885695 44.114305
861 BE3 295 Extrapolation 0 40.023694 35.901733 44.145655
862 BE3 310 Extrapolation 0 40.365616 36.127574 44.603658
863 BE3 325 Extrapolation 0 40.683480 36.326516 45.040445
864 BE3 341 Extrapolation 0 40.997924 36.510398 45.485450
865 BE3 356 Extrapolation 0 41.271299 36.657629 45.884970
866 BE3 372 Extrapolation 0 41.541733 36.789472 46.293994
867 BE3 387 Extrapolation 0 41.776846 36.890997 46.662696
868 BE3 402 Extrapolation 0 41.995417 36.972672 47.018162
869 BE3 418 Extrapolation 0 42.211636 37.039564 47.383708
870 BE3 433 Extrapolation 0 42.399615 37.084817 47.714414
871 BE3 449 Extrapolation 0 42.585572 37.116039 48.055104
872 BE3 464 Extrapolation 0 42.747241 37.130701 48.363781
873 BE3 480 Extrapolation 0 42.907170 37.132166 48.682175
874 BE3 495 Extrapolation 0 43.046212 37.121461 48.970963
875 BE3 510 Extrapolation 0 43.175471 37.100159 49.250784
876 BE3 526 Extrapolation 0 43.303339 37.066868 49.539811
877 BE3 541 Extrapolation 0 43.414507 37.026715 49.802298
878 BE3 557 Extrapolation 0 43.524478 36.975317 50.073639
879 BE3 572 Extrapolation 0 43.620086 36.919915 50.320258
880 BE3 588 Extrapolation 0 43.714666 36.853937 50.575395
881 BE30 1 Rarefaction 0 1.000000 1.000000 1.000000
882 BE30 15 Rarefaction 0 8.070304 7.511302 8.629306
883 BE30 30 Rarefaction 0 11.723175 10.804738 12.641612
884 BE30 45 Rarefaction 0 14.106032 12.905668 15.306397
885 BE30 59 Rarefaction 0 15.756410 14.307027 17.205793
886 BE30 74 Rarefaction 0 17.183199 15.472252 18.894146
887 BE30 89 Rarefaction 0 18.399835 16.434866 20.364804
888 BE30 103 Rarefaction 0 19.415610 17.222547 21.608673
889 BE30 118 Rarefaction 0 20.417180 17.989907 22.844453
890 BE30 133 Rarefaction 0 21.353511 18.701685 24.005338
891 BE30 147 Rarefaction 0 22.181532 19.327421 25.035644
892 BE30 162 Rarefaction 0 23.027747 19.962994 26.092500
893 BE30 177 Rarefaction 0 23.836757 20.565921 27.107592
894 BE30 191 Rarefaction 0 24.561220 21.100705 28.021736
895 BE30 206 Rarefaction 0 25.306752 21.644450 28.969054
896 BE30 221 Rarefaction 0 26.022146 22.158193 29.886099
897 BE30 235 Rarefaction 0 26.663821 22.610604 30.717038
898 BE30 250 Rarefaction 0 27.324546 23.066153 31.582939
899 BE30 265 Rarefaction 0 27.958647 23.491258 32.426035
900 BE30 266 Observed 0 28.000000 23.518508 32.481492
901 BE30 267 Extrapolation 0 28.041240 23.545621 32.536860
902 BE30 280 Extrapolation 0 28.567203 23.885728 33.248678
903 BE30 294 Extrapolation 0 29.113055 24.226655 33.999456
904 BE30 308 Extrapolation 0 29.638360 24.541881 34.734840
905 BE30 322 Extrapolation 0 30.143891 24.832100 35.455683
906 BE30 336 Extrapolation 0 30.630393 25.098091 36.162696
907 BE30 350 Extrapolation 0 31.098582 25.340700 36.856464
908 BE30 364 Extrapolation 0 31.549146 25.560825 37.537467
909 BE30 378 Extrapolation 0 31.982751 25.759399 38.206103
910 BE30 392 Extrapolation 0 32.400033 25.937369 38.862696
911 BE30 406 Extrapolation 0 32.801608 26.095692 39.507523
912 BE30 420 Extrapolation 0 33.188066 26.235317 40.140815
913 BE30 434 Extrapolation 0 33.559977 26.357176 40.762778
914 BE30 448 Extrapolation 0 33.917889 26.462184 41.373594
915 BE30 462 Extrapolation 0 34.262327 26.551226 41.973429
916 BE30 476 Extrapolation 0 34.593801 26.625159 42.562442
917 BE30 490 Extrapolation 0 34.912796 26.684807 43.140786
918 BE30 504 Extrapolation 0 35.219784 26.730958 43.708611
919 BE30 518 Extrapolation 0 35.515216 26.764368 44.266065
920 BE30 532 Extrapolation 0 35.799528 26.785756 44.813299
921 BE4 1 Rarefaction 0 1.000000 1.000000 1.000000
922 BE4 23 Rarefaction 0 13.387594 12.784409 13.990778
923 BE4 46 Rarefaction 0 18.785704 17.733969 19.837438
924 BE4 69 Rarefaction 0 21.872317 20.560820 23.183815
925 BE4 92 Rarefaction 0 23.916708 22.425871 25.407545
926 BE4 115 Rarefaction 0 25.384883 23.743643 27.026122
927 BE4 138 Rarefaction 0 26.498154 24.711789 28.284519
928 BE4 161 Rarefaction 0 27.377436 25.441405 29.313467
929 BE4 184 Rarefaction 0 28.095194 26.001518 30.188871
930 BE4 207 Rarefaction 0 28.697752 26.437795 30.957710
931 BE4 230 Rarefaction 0 29.216086 26.781773 31.650399
932 BE4 253 Rarefaction 0 29.671586 27.055945 32.287228
933 BE4 276 Rarefaction 0 30.079407 27.276784 32.882030
934 BE4 299 Rarefaction 0 30.450540 27.456633 33.444446
935 BE4 322 Rarefaction 0 30.793173 27.604944 33.981402
936 BE4 345 Rarefaction 0 31.113604 27.729119 34.498089
937 BE4 368 Rarefaction 0 31.416859 27.835099 34.998619
938 BE4 391 Rarefaction 0 31.707107 27.927781 35.486434
939 BE4 414 Rarefaction 0 31.987952 28.011333 35.964571
940 BE4 415 Observed 0 32.000000 28.014816 35.985184
941 BE4 416 Extrapolation 0 32.012037 28.018290 36.005783
942 BE4 437 Extrapolation 0 32.262138 28.088903 36.435372
943 BE4 459 Extrapolation 0 32.518765 28.158424 36.879106
944 BE4 481 Extrapolation 0 32.769997 28.223781 37.316214
945 BE4 503 Extrapolation 0 33.015949 28.285319 37.746578
946 BE4 524 Extrapolation 0 33.245895 28.340771 38.151020
947 BE4 546 Extrapolation 0 33.481842 28.395671 38.568014
948 BE4 568 Extrapolation 0 33.712829 28.447534 38.978124
949 BE4 590 Extrapolation 0 33.938960 28.496571 39.381350
950 BE4 612 Extrapolation 0 34.160338 28.542971 39.777705
951 BE4 633 Extrapolation 0 34.367310 28.584962 40.149658
952 BE4 655 Extrapolation 0 34.579683 28.626696 40.532671
953 BE4 677 Extrapolation 0 34.787592 28.666264 40.908920
954 BE4 699 Extrapolation 0 34.991130 28.703803 41.278457
955 BE4 721 Extrapolation 0 35.190389 28.739438 41.641340
956 BE4 742 Extrapolation 0 35.376682 28.771784 41.981580
957 BE4 764 Extrapolation 0 35.567836 28.804028 42.331644
958 BE4 786 Extrapolation 0 35.754972 28.834691 42.675254
959 BE4 808 Extrapolation 0 35.938174 28.863867 43.012481
960 BE4 830 Extrapolation 0 36.117525 28.891644 43.343405
961 BE5 1 Rarefaction 0 1.000000 1.000000 1.000000
962 BE5 11 Rarefaction 0 4.931670 4.382917 5.480424
963 BE5 22 Rarefaction 0 7.721929 6.884860 8.558998
964 BE5 33 Rarefaction 0 9.731952 8.705212 10.758692
965 BE5 44 Rarefaction 0 11.206000 10.030802 12.381199
966 BE5 55 Rarefaction 0 12.308909 11.004973 13.612846
967 BE5 66 Rarefaction 0 13.152248 11.731153 14.573343
968 BE5 77 Rarefaction 0 13.812089 12.282435 15.341744
969 BE5 88 Rarefaction 0 14.340881 12.710091 15.971670
970 BE5 99 Rarefaction 0 14.775257 13.049995 16.500519
971 BE5 110 Rarefaction 0 15.141114 13.327184 16.955044
972 BE5 121 Rarefaction 0 15.456892 13.559021 17.354763
973 BE5 132 Rarefaction 0 15.735721 13.757371 17.714071
974 BE5 143 Rarefaction 0 15.986848 13.930118 18.043578
975 BE5 154 Rarefaction 0 16.216635 14.082250 18.351021
976 BE5 165 Rarefaction 0 16.429282 14.216668 18.641896
977 BE5 176 Rarefaction 0 16.627387 14.334816 18.919958
978 BE5 187 Rarefaction 0 16.812386 14.437161 19.187611
979 BE5 198 Rarefaction 0 16.984925 14.523587 19.446262
980 BE5 199 Observed 0 17.000000 14.530642 19.469358
981 BE5 200 Extrapolation 0 17.014975 14.537342 19.492607
982 BE5 210 Extrapolation 0 17.159320 14.596970 19.721670
983 BE5 220 Extrapolation 0 17.294296 14.643629 19.944962
984 BE5 231 Extrapolation 0 17.432672 14.680925 20.184418
985 BE5 241 Extrapolation 0 17.549904 14.703084 20.396724
986 BE5 252 Extrapolation 0 17.670089 14.715733 20.624444
987 BE5 262 Extrapolation 0 17.771910 14.717615 20.826204
988 BE5 272 Extrapolation 0 17.867121 14.711282 21.022961
989 BE5 283 Extrapolation 0 17.964731 14.695839 21.233624
990 BE5 293 Extrapolation 0 18.047426 14.674941 21.419912
991 BE5 304 Extrapolation 0 18.132205 14.645281 21.619129
992 BE5 314 Extrapolation 0 18.204029 14.612943 21.795114
993 BE5 325 Extrapolation 0 18.277662 14.572169 21.983155
994 BE5 335 Extrapolation 0 18.340044 14.530931 22.149158
995 BE5 345 Extrapolation 0 18.398377 14.486198 22.310556
996 BE5 356 Extrapolation 0 18.458180 14.433453 22.482906
997 BE5 366 Extrapolation 0 18.508844 14.382691 22.634997
998 BE5 377 Extrapolation 0 18.560785 14.324172 22.797398
999 BE5 387 Extrapolation 0 18.604789 14.268864 22.940714
1000 BE5 398 Extrapolation 0 18.649902 14.206040 23.093764
1001 BE6 1 Rarefaction 0 1.000000 1.000000 1.000000
1002 BE6 12 Rarefaction 0 6.975703 6.406864 7.544542
1003 BE6 23 Rarefaction 0 10.431183 9.462996 11.399370
1004 BE6 35 Rarefaction 0 13.070098 11.728222 14.411974
1005 BE6 46 Rarefaction 0 14.898257 13.256955 16.539560
1006 BE6 58 Rarefaction 0 16.496117 14.563999 18.428234
1007 BE6 69 Rarefaction 0 17.717360 15.544371 19.890349
1008 BE6 81 Rarefaction 0 18.863366 16.450456 21.276275
1009 BE6 92 Rarefaction 0 19.787112 17.172175 22.402049
1010 BE6 104 Rarefaction 0 20.688741 17.870471 23.507010
1011 BE6 115 Rarefaction 0 21.437318 18.446470 24.428166
1012 BE6 126 Rarefaction 0 22.124425 18.972549 25.276301
1013 BE6 138 Rarefaction 0 22.814778 19.498498 26.131058
1014 BE6 149 Rarefaction 0 23.401033 19.942579 26.859488
1015 BE6 161 Rarefaction 0 23.996785 20.390487 27.603083
1016 BE6 172 Rarefaction 0 24.508027 20.771034 28.245019
1017 BE6 184 Rarefaction 0 25.032957 21.156638 28.909277
1018 BE6 195 Rarefaction 0 25.488356 21.485547 29.491165
1019 BE6 207 Rarefaction 0 25.961538 21.820176 30.102901
1020 BE6 208 Observed 0 26.000000 21.847005 30.152995
1021 BE6 209 Extrapolation 0 26.038323 21.873677 30.202968
1022 BE6 219 Extrapolation 0 26.414022 22.131671 30.696373
1023 BE6 230 Extrapolation 0 26.811897 22.396957 31.226836
1024 BE6 241 Extrapolation 0 27.194253 22.642782 31.745725
1025 BE6 252 Extrapolation 0 27.561697 22.869332 32.254062
1026 BE6 263 Extrapolation 0 27.914810 23.077019 32.752601
1027 BE6 274 Extrapolation 0 28.254150 23.266426 33.241874
1028 BE6 285 Extrapolation 0 28.580256 23.438271 33.722241
1029 BE6 296 Extrapolation 0 28.893643 23.593360 34.193926
1030 BE6 307 Extrapolation 0 29.194807 23.732554 34.657059
1031 BE6 317 Extrapolation 0 29.458387 23.846052 35.070723
1032 BE6 328 Extrapolation 0 29.737525 23.957382 35.517668
1033 BE6 339 Extrapolation 0 30.005776 24.055410 35.956142
1034 BE6 350 Extrapolation 0 30.263565 24.141001 36.386128
1035 BE6 361 Extrapolation 0 30.511299 24.214986 36.807612
1036 BE6 372 Extrapolation 0 30.749371 24.278159 37.220583
1037 BE6 383 Extrapolation 0 30.978158 24.331275 37.625041
1038 BE6 394 Extrapolation 0 31.198021 24.375044 38.020999
1039 BE6 405 Extrapolation 0 31.409310 24.410133 38.408487
1040 BE6 416 Extrapolation 0 31.612358 24.437169 38.787546
1041 BE7 1 Rarefaction 0 1.000000 1.000000 1.000000
1042 BE7 30 Rarefaction 0 9.448944 8.786755 10.111133
1043 BE7 60 Rarefaction 0 13.036941 11.891708 14.182173
1044 BE7 90 Rarefaction 0 15.324703 13.773733 16.875674
1045 BE7 120 Rarefaction 0 17.052653 15.149943 18.955364
1046 BE7 150 Rarefaction 0 18.462129 16.245653 20.678605
1047 BE7 180 Rarefaction 0 19.662846 17.163706 22.161986
1048 BE7 210 Rarefaction 0 20.716161 17.961919 23.470404
1049 BE7 240 Rarefaction 0 21.660099 18.675439 24.644758
1050 BE7 270 Rarefaction 0 22.519277 19.325956 25.712598
1051 BE7 299 Rarefaction 0 23.284602 19.907421 26.661783
1052 BE7 329 Rarefaction 0 24.019588 20.467768 27.571408
1053 BE7 359 Rarefaction 0 24.704430 20.990974 28.417886
1054 BE7 389 Rarefaction 0 25.344558 21.479813 29.209303
1055 BE7 419 Rarefaction 0 25.943950 21.935828 29.952072
1056 BE7 449 Rarefaction 0 26.505614 22.359806 30.651421
1057 BE7 479 Rarefaction 0 27.031879 22.752048 31.311709
1058 BE7 509 Rarefaction 0 27.524583 23.112520 31.936646
1059 BE7 539 Rarefaction 0 27.985185 23.440923 32.529448
1060 BE7 540 Observed 0 28.000000 23.451311 32.548689
1061 BE7 541 Extrapolation 0 28.014781 23.461664 32.567897
1062 BE7 569 Extrapolation 0 28.415036 23.736993 33.093079
1063 BE7 597 Extrapolation 0 28.790155 23.984785 33.595525
1064 BE7 626 Extrapolation 0 29.153854 24.213416 34.094293
1065 BE7 654 Extrapolation 0 29.482575 24.408259 34.556890
1066 BE7 682 Extrapolation 0 29.790651 24.578885 35.002416
1067 BE7 711 Extrapolation 0 30.089348 24.731457 35.447240
1068 BE7 739 Extrapolation 0 30.359318 24.856830 35.861807
1069 BE7 767 Extrapolation 0 30.612334 24.962011 36.262657
1070 BE7 796 Extrapolation 0 30.857647 25.051087 36.664208
1071 BE7 824 Extrapolation 0 31.079367 25.119257 37.039477
1072 BE7 853 Extrapolation 0 31.294337 25.172749 37.415926
1073 BE7 881 Extrapolation 0 31.488633 25.209117 37.768149
1074 BE7 909 Extrapolation 0 31.670726 25.231631 38.109820
1075 BE7 938 Extrapolation 0 31.847276 25.241500 38.453051
1076 BE7 966 Extrapolation 0 32.006846 25.239093 38.774598
1077 BE7 994 Extrapolation 0 32.156394 25.225924 39.086865
1078 BE7 1023 Extrapolation 0 32.301391 25.201890 39.400891
1079 BE7 1051 Extrapolation 0 32.432442 25.169505 39.695379
1080 BE7 1080 Extrapolation 0 32.559503 25.127286 39.991720
1081 BE8 1 Rarefaction 0 1.000000 1.000000 1.000000
1082 BE8 13 Rarefaction 0 7.833924 7.239256 8.428593
1083 BE8 25 Rarefaction 0 11.798526 10.865811 12.731241
1084 BE8 37 Rarefaction 0 14.514179 13.342918 15.685439
1085 BE8 49 Rarefaction 0 16.470219 15.124535 17.815903
1086 BE8 61 Rarefaction 0 17.932717 16.451907 19.413527
1087 BE8 73 Rarefaction 0 19.059251 17.465515 20.652986
1088 BE8 85 Rarefaction 0 19.948935 18.254417 21.643453
1089 BE8 97 Rarefaction 0 20.667021 18.878731 22.455311
1090 BE8 109 Rarefaction 0 21.257979 19.380724 23.135233
1091 BE8 121 Rarefaction 0 21.752904 19.790776 23.715031
1092 BE8 133 Rarefaction 0 22.173931 20.130894 24.216968
1093 BE8 145 Rarefaction 0 22.537003 20.416995 24.657011
1094 BE8 157 Rarefaction 0 22.853691 20.660488 25.046893
1095 BE8 169 Rarefaction 0 23.132453 20.869433 25.395474
1096 BE8 181 Rarefaction 0 23.379539 21.049412 25.709666
1097 BE8 193 Rarefaction 0 23.599636 21.204187 25.995084
1098 BE8 205 Rarefaction 0 23.796339 21.336188 26.256490
1099 BE8 218 Rarefaction 0 23.986301 21.455157 26.517446
1100 BE8 219 Observed 0 24.000000 21.463302 26.536698
1101 BE8 220 Extrapolation 0 24.013574 21.471308 26.555840
1102 BE8 231 Extrapolation 0 24.154987 21.550453 26.759520
1103 BE8 242 Extrapolation 0 24.282883 21.614243 26.951524
1104 BE8 254 Extrapolation 0 24.408507 21.667888 27.149126
1105 BE8 265 Extrapolation 0 24.512173 21.703798 27.320549
1106 BE8 277 Extrapolation 0 24.613997 21.729931 27.498063
1107 BE8 288 Extrapolation 0 24.698023 21.743125 27.652921
1108 BE8 300 Extrapolation 0 24.780556 21.747033 27.814079
1109 BE8 311 Extrapolation 0 24.848663 21.742040 27.955287
1110 BE8 323 Extrapolation 0 24.915560 21.728316 28.102804
1111 BE8 334 Extrapolation 0 24.970764 21.709031 28.232497
1112 BE8 346 Extrapolation 0 25.024987 21.681586 28.368387
1113 BE8 357 Extrapolation 0 25.069732 21.651295 28.488169
1114 BE8 369 Extrapolation 0 25.113682 21.613403 28.613962
1115 BE8 380 Extrapolation 0 25.149951 21.574832 28.725069
1116 BE8 392 Extrapolation 0 25.185574 21.529186 28.841962
1117 BE8 403 Extrapolation 0 25.214971 21.484567 28.945375
1118 BE8 415 Extrapolation 0 25.243846 21.433360 29.054331
1119 BE8 426 Extrapolation 0 25.267673 21.384497 29.150850
1120 BE8 438 Extrapolation 0 25.291078 21.329492 29.252663
1121 BE9 1 Rarefaction 0 1.000000 1.000000 1.000000
1122 BE9 18 Rarefaction 0 11.347815 10.807864 11.887767
1123 BE9 35 Rarefaction 0 16.420869 15.440112 17.401627
1124 BE9 52 Rarefaction 0 19.580958 18.243035 20.918881
1125 BE9 69 Rarefaction 0 21.812284 20.168291 23.456277
1126 BE9 86 Rarefaction 0 23.518079 21.599897 25.436261
1127 BE9 103 Rarefaction 0 24.890987 22.718499 27.063474
1128 BE9 120 Rarefaction 0 26.034800 23.621249 28.448352
1129 BE9 137 Rarefaction 0 27.011773 24.367164 29.656382
1130 BE9 155 Rarefaction 0 27.909687 25.029863 30.789511
1131 BE9 172 Rarefaction 0 28.658911 25.565413 31.752410
1132 BE9 189 Rarefaction 0 29.333755 26.034728 32.632782
1133 BE9 206 Rarefaction 0 29.950244 26.453771 33.446717
1134 BE9 223 Rarefaction 0 30.520680 26.834651 34.206709
1135 BE9 240 Rarefaction 0 31.054533 27.186441 34.922625
1136 BE9 257 Rarefaction 0 31.559108 27.515812 35.602404
1137 BE9 274 Rarefaction 0 32.040079 27.827560 36.252599
1138 BE9 291 Rarefaction 0 32.501933 28.125059 36.878807
1139 BE9 309 Rarefaction 0 32.974194 28.427129 37.521258
1140 BE9 310 Observed 0 33.000000 28.443562 37.556438
1141 BE9 311 Extrapolation 0 33.025765 28.459960 37.591570
1142 BE9 327 Extrapolation 0 33.432386 28.717429 38.147342
1143 BE9 343 Extrapolation 0 33.828623 28.965516 38.691729
1144 BE9 359 Extrapolation 0 34.214741 29.203996 39.225485
1145 BE9 376 Extrapolation 0 34.614193 29.446673 39.781713
1146 BE9 392 Extrapolation 0 34.980249 29.664895 40.295604
1147 BE9 408 Extrapolation 0 35.336958 29.873213 40.800703
1148 BE9 424 Extrapolation 0 35.684557 30.071659 41.297456
1149 BE9 441 Extrapolation 0 36.044160 30.271785 41.816536
1150 BE9 457 Extrapolation 0 36.373700 30.450189 42.297211
1151 BE9 473 Extrapolation 0 36.694823 30.619124 42.770523
1152 BE9 489 Extrapolation 0 37.007746 30.778802 43.236690
1153 BE9 506 Extrapolation 0 37.331476 30.938584 43.724367
1154 BE9 522 Extrapolation 0 37.628140 31.079947 44.176334
1155 BE9 538 Extrapolation 0 37.917229 31.212846 44.621612
1156 BE9 554 Extrapolation 0 38.198935 31.337569 45.060301
1157 BE9 571 Extrapolation 0 38.490369 31.461462 45.519277
1158 BE9 587 Extrapolation 0 38.757439 31.570262 45.944616
1159 BE9 603 Extrapolation 0 39.017688 31.671802 46.363575
1160 BE9 620 Extrapolation 0 39.286925 31.772065 46.801785
SC SC.LCL SC.UCL
1 0.39408233 0.32664741 0.46151726
2 0.81624211 0.79293211 0.83955211
3 0.89466850 0.87634613 0.91299087
4 0.92783458 0.91117639 0.94449277
5 0.94612194 0.93095140 0.96129248
6 0.95625438 0.94248404 0.97002471
7 0.96206318 0.94941817 0.97470819
8 0.96623309 0.95454882 0.97791736
9 0.96906748 0.95806724 0.98006771
10 0.97146996 0.96101962 0.98192030
11 0.97349012 0.96344658 0.98353366
12 0.97516349 0.96540247 0.98492451
13 0.97680512 0.96726502 0.98634522
14 0.97823491 0.96883587 0.98763395
15 0.97968357 0.97037044 0.98899670
16 0.98106612 0.97177050 0.99036175
17 0.98231255 0.97296783 0.99165727
18 0.98361695 0.97414412 0.99308977
19 0.98490566 0.97522075 0.99459057
20 0.98499094 0.97528995 0.99469193
21 0.98507574 0.97535913 0.99479234
22 0.98613547 0.97625716 0.99601378
23 0.98719272 0.97721866 0.99716679
24 0.98816936 0.97816542 0.99817329
25 0.98907151 0.97908801 0.99905502
26 0.98990488 0.97997918 0.99983058
27 0.99067469 0.98083415 1.00000000
28 0.99138580 0.98165022 1.00000000
29 0.99204269 0.98242626 1.00000000
30 0.99264948 0.98316223 1.00000000
31 0.99317142 0.98381038 1.00000000
32 0.99369214 0.98447157 1.00000000
33 0.99417315 0.98509606 1.00000000
34 0.99461749 0.98568559 1.00000000
35 0.99502793 0.98624194 1.00000000
36 0.99540708 0.98676697 1.00000000
37 0.99575732 0.98726249 1.00000000
38 0.99608085 0.98773029 1.00000000
39 0.99637971 0.98817208 1.00000000
40 0.99665578 0.98858950 1.00000000
41 0.11437151 0.09749170 0.13125131
42 0.71404958 0.68975997 0.73833919
43 0.83540700 0.81835631 0.85245768
44 0.89049748 0.87721339 0.90378157
45 0.91979580 0.90835621 0.93123540
46 0.93844882 0.92816072 0.94873693
47 0.95154502 0.94204578 0.96104427
48 0.96032455 0.95134432 0.96930478
49 0.96693307 0.95835206 0.97551407
50 0.97160537 0.96332669 0.97988404
51 0.97513590 0.96710895 0.98316285
52 0.97793683 0.97013143 0.98574222
53 0.97999182 0.97236235 0.98762129
54 0.98164233 0.97415592 0.98912874
55 0.98286542 0.97547218 0.99025866
56 0.98382524 0.97647650 0.99117398
57 0.98462189 0.97726241 0.99198137
58 0.98524932 0.97782101 0.99267764
59 0.98581560 0.97825166 0.99337954
60 0.98583798 0.97826785 0.99340810
61 0.98586031 0.97828397 0.99343665
62 0.98634292 0.97862663 0.99405922
63 0.98680906 0.97895227 0.99466586
64 0.98725929 0.97926782 0.99525076
65 0.98769415 0.97957796 0.99581034
66 0.98813292 0.97989974 0.99636609
67 0.98853796 0.98020713 0.99686879
68 0.98892918 0.98051519 0.99734317
69 0.98930704 0.98082442 0.99778967
70 0.98967201 0.98113492 0.99820911
71 0.99004026 0.98146073 0.99861978
72 0.99038020 0.98177320 0.99898720
73 0.99070854 0.98208605 0.99933103
74 0.99102567 0.98239881 0.99965253
75 0.99133198 0.98271099 0.99995297
76 0.99164104 0.98303621 1.00000000
77 0.99192634 0.98334571 1.00000000
78 0.99220191 0.98365320 1.00000000
79 0.99246807 0.98395826 1.00000000
80 0.99273662 0.98427419 1.00000000
81 0.11947921 0.09114177 0.14781664
82 0.63117814 0.58511641 0.67723986
83 0.77676632 0.74678728 0.80674537
84 0.83948694 0.81835662 0.86061727
85 0.87978514 0.86429653 0.89527375
86 0.90448127 0.89209544 0.91686709
87 0.92414755 0.91365946 0.93463564
88 0.93794571 0.92820897 0.94768245
89 0.94978668 0.94019929 0.95937406
90 0.95842030 0.94865817 0.96818243
91 0.96594844 0.95585806 0.97603883
92 0.97145821 0.96101996 0.98189647
93 0.97625071 0.96540835 0.98709308
94 0.97974725 0.96851218 0.99098232
95 0.98279641 0.97110198 0.99449084
96 0.98505791 0.97290905 0.99720678
97 0.98711297 0.97442940 0.99979654
98 0.98875698 0.97554694 1.00000000
99 0.99043062 0.97660519 1.00000000
100 0.99056668 0.97674015 1.00000000
101 0.99070080 0.97687374 1.00000000
102 0.99194150 0.97814456 1.00000000
103 0.99311595 0.97942741 1.00000000
104 0.99411924 0.98060523 1.00000000
105 0.99497630 0.98168519 1.00000000
106 0.99570846 0.98267288 1.00000000
107 0.99633391 0.98357432 1.00000000
108 0.99686821 0.98439614 1.00000000
109 0.99732464 0.98514531 1.00000000
110 0.99771455 0.98582877 1.00000000
111 0.99804763 0.98645324 1.00000000
112 0.99833217 0.98702500 1.00000000
113 0.99857524 0.98754984 1.00000000
114 0.99878289 0.98803299 1.00000000
115 0.99896027 0.98847915 1.00000000
116 0.99911180 0.98889248 1.00000000
117 0.99924125 0.98927667 1.00000000
118 0.99935183 0.98963496 1.00000000
119 0.99944629 0.98997018 1.00000000
120 0.99952699 0.99028481 1.00000000
121 0.05300481 0.04594798 0.06006164
122 0.58115978 0.54577225 0.61654732
123 0.75773938 0.72779031 0.78768845
124 0.83515805 0.81048897 0.85982713
125 0.87190831 0.85062550 0.89319113
126 0.89330282 0.87411954 0.91248611
127 0.90762563 0.88980740 0.92544386
128 0.91701137 0.90002651 0.93399623
129 0.92445702 0.90806165 0.94085238
130 0.93012965 0.91410618 0.94615311
131 0.93495832 0.91916779 0.95074886
132 0.93943469 0.92376386 0.95510552
133 0.94324420 0.92758196 0.95890644
134 0.94690765 0.93115593 0.96265936
135 0.95009555 0.93417562 0.96601549
136 0.95304544 0.93688496 0.96920593
137 0.95593049 0.93944604 0.97241495
138 0.95846879 0.94161721 0.97532036
139 0.96096096 0.94366201 0.97825991
140 0.96108718 0.94376329 0.97841108
141 0.96121300 0.94386428 0.97856172
142 0.96329068 0.94554136 0.98104000
143 0.96525706 0.94715496 0.98335916
144 0.96722443 0.94880756 0.98564130
145 0.96898010 0.95032318 0.98763701
146 0.97073664 0.95188505 0.98958824
147 0.97230417 0.95332217 0.99128618
148 0.97387249 0.95480509 0.99293989
149 0.97527204 0.95616968 0.99437441
150 0.97667230 0.95757677 0.99576783
151 0.97792188 0.95887006 0.99697370
152 0.97917208 0.96020170 0.99814247
153 0.98028776 0.96142374 0.99915178
154 0.98140399 0.96268003 1.00000000
155 0.98240011 0.96383113 1.00000000
156 0.98339673 0.96501271 1.00000000
157 0.98428611 0.96609383 1.00000000
158 0.98517593 0.96720215 1.00000000
159 0.98597000 0.96821501 1.00000000
160 0.98676447 0.96925221 1.00000000
161 0.05725589 0.04833726 0.06617453
162 0.57652839 0.54386036 0.60919642
163 0.74386529 0.71447929 0.77325130
164 0.81844951 0.79146384 0.84543518
165 0.85726199 0.83233154 0.88219244
166 0.88286083 0.85994906 0.90577259
167 0.90032027 0.87920464 0.92143590
168 0.91248100 0.89280985 0.93215214
169 0.92225218 0.90381404 0.94069033
170 0.92985846 0.91237485 0.94734206
171 0.93563297 0.91882250 0.95244344
172 0.94058412 0.92426265 0.95690559
173 0.94467832 0.92864610 0.96071055
174 0.94798360 0.93206299 0.96390421
175 0.95101639 0.93506241 0.96697037
176 0.95372344 0.93759993 0.96984694
177 0.95608651 0.93968957 0.97248345
178 0.95842760 0.94163463 0.97522057
179 0.96067416 0.94337969 0.97796863
180 0.96078462 0.94346283 0.97810642
181 0.96089478 0.94354588 0.97824368
182 0.96282550 0.94502915 0.98062185
183 0.96476016 0.94657617 0.98294416
184 0.96659414 0.94810536 0.98508293
185 0.96824347 0.94953467 0.98695227
186 0.96989617 0.95101841 0.98877392
187 0.97146286 0.95247192 0.99045379
188 0.97287180 0.95381741 0.99192620
189 0.97428363 0.95520139 0.99336587
190 0.97562198 0.95654595 0.99469801
191 0.97682558 0.95778205 0.99586911
192 0.97803164 0.95904628 0.99701701
193 0.97917494 0.96026861 0.99808127
194 0.98020312 0.96138811 0.99901814
195 0.98123341 0.96252964 0.99993717
196 0.98221007 0.96363064 1.00000000
197 0.98308841 0.96463715 1.00000000
198 0.98396853 0.96566198 1.00000000
199 0.98480285 0.96664932 1.00000000
200 0.98559375 0.96760036 1.00000000
201 0.03682835 0.02795934 0.04569736
202 0.27403259 0.23064484 0.31742034
203 0.45201076 0.40265714 0.50136437
204 0.55989982 0.51242240 0.60737725
205 0.64541219 0.60119034 0.68963403
206 0.70632991 0.66491934 0.74774049
207 0.74681793 0.70742269 0.78621317
208 0.78188501 0.74439979 0.81937023
209 0.80642380 0.77044732 0.84240027
210 0.82864398 0.79421160 0.86307637
211 0.84663367 0.81357322 0.87969412
212 0.85993318 0.82790798 0.89195838
213 0.87255114 0.84142498 0.90367730
214 0.88211067 0.85149752 0.91272382
215 0.89137544 0.86096614 0.92178473
216 0.89936198 0.86871917 0.93000479
217 0.90558183 0.87434026 0.93682340
218 0.91175740 0.87938705 0.94412775
219 0.91719745 0.88320870 0.95118621
220 0.91776515 0.88357313 0.95195716
221 0.91832895 0.88393478 0.95272313
222 0.92270243 0.88674844 0.95865643
223 0.92684171 0.88946671 0.96421671
224 0.93075933 0.89212936 0.96938931
225 0.93446717 0.89475535 0.97417899
226 0.93840168 0.89767437 0.97912899
227 0.94170027 0.90023816 0.98316238
228 0.94482222 0.90276975 0.98687468
229 0.94777698 0.90526467 0.99028930
230 0.95057352 0.90771800 0.99342904
231 0.95354103 0.91042241 0.99665965
232 0.95602890 0.91277219 0.99928562
233 0.95838355 0.91506723 1.00000000
234 0.96061211 0.91730457 1.00000000
235 0.96272133 0.91948190 1.00000000
236 0.96495950 0.92185755 1.00000000
237 0.96683592 0.92390237 1.00000000
238 0.96861185 0.92588362 1.00000000
239 0.97029268 0.92780115 1.00000000
240 0.97207628 0.92988247 1.00000000
241 0.13215078 0.11018033 0.15412124
242 0.72643572 0.70364577 0.74922567
243 0.83848639 0.82135352 0.85561927
244 0.89160836 0.87818475 0.90503198
245 0.92214179 0.91113658 0.93314701
246 0.94216735 0.93259777 0.95173693
247 0.95478907 0.94602261 0.96355554
248 0.96365660 0.95545651 0.97185668
249 0.97009658 0.96235871 0.97783446
250 0.97511102 0.96779312 0.98242891
251 0.97870991 0.97173094 0.98568887
252 0.98150301 0.97479440 0.98821161
253 0.98371261 0.97719568 0.99022954
254 0.98549713 0.97908869 0.99190557
255 0.98704331 0.98066222 0.99342441
256 0.98828703 0.98185807 0.99471600
257 0.98938008 0.98284181 0.99591836
258 0.99037796 0.98367740 0.99707853
259 0.99137931 0.98445429 0.99830433
260 0.99142871 0.98449343 0.99836400
261 0.99147783 0.98453253 0.99842313
262 0.99231537 0.98523116 0.99939958
263 0.99307060 0.98591462 1.00000000
264 0.99375160 0.98657385 1.00000000
265 0.99439797 0.98723602 1.00000000
266 0.99494852 0.98782775 1.00000000
267 0.99544497 0.98838371 1.00000000
268 0.99589263 0.98890435 1.00000000
269 0.99631751 0.98941709 1.00000000
270 0.99667942 0.98986983 1.00000000
271 0.99700576 0.99029252 1.00000000
272 0.99730003 0.99068722 1.00000000
273 0.99757932 0.99107572 1.00000000
274 0.99781722 0.99141919 1.00000000
275 0.99803174 0.99174062 1.00000000
276 0.99822518 0.99204172 1.00000000
277 0.99840877 0.99233928 1.00000000
278 0.99856516 0.99260352 1.00000000
279 0.99870617 0.99285199 1.00000000
280 0.99884001 0.99309853 1.00000000
281 0.05198749 0.04306587 0.06090911
282 0.43754019 0.39878561 0.47629476
283 0.63897359 0.60794298 0.67000421
284 0.73718182 0.71361298 0.76075066
285 0.80193859 0.78319120 0.82068597
286 0.84173097 0.82529341 0.85816852
287 0.87343395 0.85841855 0.88844935
288 0.89585196 0.88173609 0.90996784
289 0.91544932 0.90213277 0.92876587
290 0.93016543 0.91747905 0.94285181
291 0.94351930 0.93142425 0.95561436
292 0.95379194 0.94215428 0.96542961
293 0.96326122 0.95203122 0.97449122
294 0.97062393 0.95968086 0.98156700
295 0.97745852 0.96672321 0.98819383
296 0.98279492 0.97213679 0.99345305
297 0.98775628 0.97703262 0.99847994
298 0.99162708 0.98067859 1.00000000
299 0.99521531 0.98380985 1.00000000
300 0.99547629 0.98404002 1.00000000
301 0.99572304 0.98425641 1.00000000
302 0.99755915 0.98582822 1.00000000
303 0.99868299 0.98676794 1.00000000
304 0.99928938 0.98730141 1.00000000
305 0.99961657 0.98764816 1.00000000
306 0.99979311 0.98791579 1.00000000
307 0.99988837 0.98815539 1.00000000
308 0.99993977 0.98838976 1.00000000
309 0.99996750 0.98862775 1.00000000
310 0.99998246 0.98887162 1.00000000
311 0.99999054 0.98912069 1.00000000
312 0.99999489 0.98937319 1.00000000
313 0.99999725 0.98962712 1.00000000
314 0.99999851 0.98988061 1.00000000
315 0.99999920 0.99013211 1.00000000
316 0.99999957 0.99038034 1.00000000
317 0.99999977 0.99062436 1.00000000
318 0.99999987 0.99086343 1.00000000
319 0.99999993 0.99109706 1.00000000
320 0.99999996 0.99132490 1.00000000
321 0.09209698 0.07485576 0.10933819
322 0.62912716 0.59689624 0.66135808
323 0.75093741 0.72351013 0.77836469
324 0.81475665 0.79089217 0.83862113
325 0.85078840 0.82937569 0.87220110
326 0.87581479 0.85616178 0.89546781
327 0.89282127 0.87435365 0.91128888
328 0.90629083 0.88876476 0.92381691
329 0.91631971 0.89950209 0.93313734
330 0.92476065 0.90853676 0.94098454
331 0.93130596 0.91552358 0.94708834
332 0.93671757 0.92126433 0.95217080
333 0.94142393 0.92620037 0.95664749
334 0.94514889 0.93003679 0.96026099
335 0.94840708 0.93330187 0.96351230
336 0.95099661 0.93579493 0.96619829
337 0.95327517 0.93786569 0.96868466
338 0.95510772 0.93940019 0.97081525
339 0.95675676 0.94063227 0.97288124
340 0.95682988 0.94068316 0.97297659
341 0.95690287 0.94073395 0.97307180
342 0.95826659 0.94168383 0.97484935
343 0.95958716 0.94261429 0.97656003
344 0.96093211 0.94358317 0.97828105
345 0.96216833 0.94449939 0.97983727
346 0.96342738 0.94546263 0.98139212
347 0.96458464 0.94637780 0.98279149
348 0.96570529 0.94729311 0.98411746
349 0.96684662 0.94825610 0.98543715
350 0.96789569 0.94916942 0.98662197
351 0.96896413 0.95012784 0.98780042
352 0.96994620 0.95103418 0.98885822
353 0.97094640 0.95198239 0.98991041
354 0.97186574 0.95287633 0.99085514
355 0.97275599 0.95376242 0.99174956
356 0.97366268 0.95468547 0.99263988
357 0.97449607 0.95555219 0.99343994
358 0.97534484 0.95645285 0.99423684
359 0.97612500 0.95729661 0.99495340
360 0.97691957 0.95817156 0.99566758
361 0.09812942 0.07524002 0.12101882
362 0.62136871 0.58941444 0.65332297
363 0.74983973 0.72279472 0.77688473
364 0.81750917 0.79462841 0.84038994
365 0.86006567 0.84068798 0.87944335
366 0.88943492 0.87261427 0.90625557
367 0.91096566 0.89595404 0.92597727
368 0.92743997 0.91374192 0.94113803
369 0.94042402 0.92770719 0.95314085
370 0.95085691 0.93888483 0.96282899
371 0.95933684 0.94793800 0.97073568
372 0.96626662 0.95531861 0.97721464
373 0.97193074 0.96134566 0.98251581
374 0.97653841 0.96624671 0.98683012
375 0.98024928 0.97018388 0.99031468
376 0.98318961 0.97327301 0.99310621
377 0.98546317 0.97559896 0.99532738
378 0.98715871 0.97722835 0.99708907
379 0.98840580 0.97825554 0.99855606
380 0.98845613 0.97829200 0.99862027
381 0.98850625 0.97832865 0.99868385
382 0.98937207 0.97901294 0.99973120
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815 0.98489608 0.97430781 0.99548436
816 0.98684432 0.97613360 0.99755504
817 0.98870945 0.97783443 0.99958448
818 0.99026362 0.97919224 1.00000000
819 0.99176955 0.98042245 1.00000000
820 0.99187033 0.98053026 1.00000000
821 0.99196988 0.98063719 1.00000000
822 0.99307350 0.98186157 1.00000000
823 0.99409861 0.98308433 1.00000000
824 0.99497200 0.98420874 1.00000000
825 0.99566303 0.98516152 1.00000000
826 0.99630489 0.98610438 1.00000000
827 0.99685176 0.98695930 1.00000000
828 0.99731769 0.98773290 1.00000000
829 0.99768634 0.98838116 1.00000000
830 0.99802876 0.98901921 1.00000000
831 0.99832050 0.98959754 1.00000000
832 0.99856906 0.99012298 1.00000000
833 0.99876572 0.99056644 1.00000000
834 0.99894839 0.99100708 1.00000000
835 0.99910403 0.99141120 1.00000000
836 0.99923663 0.99178318 1.00000000
837 0.99934154 0.99210134 1.00000000
838 0.99943899 0.99242186 1.00000000
839 0.99952202 0.99272009 1.00000000
840 0.99959276 0.99299856 1.00000000
841 0.04497226 0.03665563 0.05328888
842 0.48867664 0.44448174 0.53287154
843 0.67624350 0.64068797 0.71179902
844 0.77350766 0.74568031 0.80133501
845 0.83240495 0.80976607 0.85504382
846 0.87322658 0.85420241 0.89225075
847 0.89936904 0.88248345 0.91625464
848 0.91784322 0.90224956 0.93343689
849 0.93118732 0.91632634 0.94604831
850 0.94158890 0.92712320 0.95605461
851 0.94897039 0.93465814 0.96328264
852 0.95475164 0.94046645 0.96903682
853 0.95940849 0.94507463 0.97374235
854 0.96325861 0.94883099 0.97768623
855 0.96670337 0.95214677 0.98125997
856 0.96948973 0.95479337 0.98418610
857 0.97193655 0.95708386 0.98678925
858 0.97411467 0.95908335 0.98914598
859 0.97619048 0.96093125 0.99144970
860 0.97630600 0.96103379 0.99157822
861 0.97642096 0.96113590 0.99170602
862 0.97807997 0.96262201 0.99353794
863 0.97962226 0.96403444 0.99521007
864 0.98114794 0.96547227 0.99682361
865 0.98247436 0.96676206 0.99818667
866 0.98378651 0.96807952 0.99949350
867 0.98492728 0.96926197 1.00000000
868 0.98598779 0.97039480 1.00000000
869 0.98703689 0.97154971 1.00000000
870 0.98794897 0.97258351 1.00000000
871 0.98885123 0.97363542 1.00000000
872 0.98963565 0.97457532 1.00000000
873 0.99041163 0.97553017 1.00000000
874 0.99108626 0.97638221 1.00000000
875 0.99171343 0.97719412 1.00000000
876 0.99233385 0.97801776 1.00000000
877 0.99287323 0.97875193 1.00000000
878 0.99340682 0.97949643 1.00000000
879 0.99387071 0.98015991 1.00000000
880 0.99432961 0.98083273 1.00000000
881 0.13675699 0.10941746 0.16409651
882 0.69084742 0.65688517 0.72480966
883 0.81206001 0.78628161 0.83783841
884 0.86776594 0.84440663 0.89112524
885 0.89591358 0.87401094 0.91781622
886 0.91348927 0.89301688 0.93396166
887 0.92418871 0.90494780 0.94342963
888 0.93076971 0.91244083 0.94909859
889 0.93575362 0.91815402 0.95335322
890 0.93949814 0.92241004 0.95658624
891 0.94233594 0.92556741 0.95910447
892 0.94495353 0.92839264 0.96151442
893 0.94729956 0.93083180 0.96376732
894 0.94932979 0.93285897 0.96580062
895 0.95138528 0.93482087 0.96794969
896 0.95334522 0.93659408 0.97009637
897 0.95510128 0.93808878 0.97211379
898 0.95691039 0.93951956 0.97430121
899 0.95864662 0.94077017 0.97652306
900 0.95875980 0.94084759 0.97667200
901 0.95887267 0.94092478 0.97682056
902 0.96031218 0.94190956 0.97871481
903 0.96180613 0.94294071 0.98067156
904 0.96324385 0.94395139 0.98253631
905 0.96462744 0.94494784 0.98430705
906 0.96595896 0.94593363 0.98598428
907 0.96724035 0.94691056 0.98757013
908 0.96847351 0.94787930 0.98906771
909 0.96966024 0.94883981 0.99048068
910 0.97080231 0.94979162 0.99181300
911 0.97190138 0.95073404 0.99306873
912 0.97295909 0.95166626 0.99425192
913 0.97397698 0.95258742 0.99536653
914 0.97495655 0.95349671 0.99641639
915 0.97589925 0.95439335 0.99740515
916 0.97680646 0.95527664 0.99833629
917 0.97767953 0.95614595 0.99921311
918 0.97851973 0.95700073 1.00000000
919 0.97932830 0.95784054 1.00000000
920 0.98010643 0.95866499 1.00000000
921 0.06215005 0.05421402 0.07008607
922 0.67668557 0.64935716 0.70401399
923 0.83245344 0.81516819 0.84973868
924 0.89425700 0.88113399 0.90738001
925 0.92632696 0.91455447 0.93809945
926 0.94533766 0.93404010 0.95663521
927 0.95755552 0.94653096 0.96858008
928 0.96584105 0.95502906 0.97665304
929 0.97167392 0.96103235 0.98231549
930 0.97589497 0.96538781 0.98640213
931 0.97901707 0.96861841 0.98941573
932 0.98136907 0.97106353 0.99167460
933 0.98316847 0.97294793 0.99338902
934 0.98456145 0.97442063 0.99470228
935 0.98564665 0.97557960 0.99571371
936 0.98649055 0.97648842 0.99649268
937 0.98713778 0.97718798 0.99708759
938 0.98761825 0.97770440 0.99753211
939 0.98795181 0.97805390 0.99784971
940 0.98796344 0.97806570 0.99786117
941 0.98797506 0.97807753 0.99787258
942 0.98821647 0.97833381 0.99809912
943 0.98846418 0.97861885 0.99830950
944 0.98870668 0.97891873 0.99849463
945 0.98894408 0.97923001 0.99865815
946 0.98916604 0.97953476 0.99879732
947 0.98939379 0.97985937 0.99892821
948 0.98961675 0.98018735 0.99904614
949 0.98983502 0.98051708 0.99915296
950 0.99004871 0.98084730 0.99925011
951 0.99024849 0.98116209 0.99933488
952 0.99045348 0.98149070 0.99941626
953 0.99065416 0.98181752 0.99949080
954 0.99085063 0.98214207 0.99955919
955 0.99104296 0.98246393 0.99962200
956 0.99122278 0.98276835 0.99967722
957 0.99140729 0.98308405 0.99973054
958 0.99158793 0.98339621 0.99977964
959 0.99176476 0.98370465 0.99982488
960 0.99193788 0.98400918 0.99986659
961 0.35175879 0.27605319 0.42746440
962 0.70561264 0.66971837 0.74150690
963 0.78940774 0.76292188 0.81589359
964 0.84680123 0.82365192 0.86995055
965 0.88639405 0.86529998 0.90748812
966 0.91396162 0.89458242 0.93334081
967 0.93336108 0.91551043 0.95121174
968 0.94715818 0.93064193 0.96367444
969 0.95706396 0.94165491 0.97247300
970 0.96423172 0.94967764 0.97878579
971 0.96945380 0.95549322 0.98341437
972 0.97328841 0.95966826 0.98690856
973 0.97613936 0.96263136 0.98964736
974 0.97830520 0.96471770 0.99189269
975 0.98000924 0.96619208 0.99382641
976 0.98141829 0.96726058 0.99557600
977 0.98265471 0.96807771 0.99723171
978 0.98380479 0.96875211 0.99885746
979 0.98492462 0.96935188 1.00000000
980 0.98502546 0.96919769 1.00000000
981 0.98512563 0.96929438 1.00000000
982 0.98609115 0.97026052 1.00000000
983 0.98699399 0.97122714 1.00000000
984 0.98791959 0.97228458 1.00000000
985 0.98870375 0.97323197 1.00000000
986 0.98950766 0.97425030 1.00000000
987 0.99018874 0.97514891 1.00000000
988 0.99082560 0.97601819 1.00000000
989 0.99147851 0.97693811 1.00000000
990 0.99203166 0.97774037 1.00000000
991 0.99259874 0.97858515 1.00000000
992 0.99307917 0.97931919 1.00000000
993 0.99357170 0.98009016 1.00000000
994 0.99398897 0.98075891 1.00000000
995 0.99437916 0.98139819 1.00000000
996 0.99477917 0.98206876 1.00000000
997 0.99511806 0.98265003 1.00000000
998 0.99546549 0.98325980 1.00000000
999 0.99575984 0.98378851 1.00000000
1000 0.99606159 0.98434339 1.00000000
1001 0.16285767 0.12003436 0.20568098
1002 0.62516048 0.57971284 0.67060811
1003 0.74446809 0.70438564 0.78455054
1004 0.81486415 0.77943143 0.85029686
1005 0.85340245 0.82129022 0.88551468
1006 0.88068497 0.85143716 0.90993277
1007 0.89790082 0.87076835 0.92503328
1008 0.91153339 0.88629724 0.93676953
1009 0.92098749 0.89719434 0.94478064
1010 0.92910660 0.90660831 0.95160489
1011 0.93515474 0.91359912 0.95671037
1012 0.94024272 0.91939979 0.96108564
1013 0.94496635 0.92464640 0.96528629
1014 0.94869526 0.92863548 0.96875503
1015 0.95221972 0.93222715 0.97221228
1016 0.95501693 0.93491027 0.97512358
1017 0.95764300 0.93724518 0.97804083
1018 0.95968731 0.93888875 0.98048587
1019 0.96153846 0.94017272 0.98290421
1020 0.96167731 0.94025987 0.98309475
1021 0.96181566 0.94034702 0.98328431
1022 0.96317198 0.94122202 0.98512193
1023 0.96460835 0.94220321 0.98701348
1024 0.96598870 0.94321259 0.98876480
1025 0.96731521 0.94425177 0.99037865
1026 0.96858998 0.94531827 0.99186170
1027 0.96981504 0.94640757 0.99322250
1028 0.97099232 0.94751434 0.99447029
1029 0.97212368 0.94863308 0.99561427
1030 0.97321091 0.94975852 0.99666330
1031 0.97416246 0.95078340 0.99754153
1032 0.97517018 0.95190867 0.99843169
1033 0.97613860 0.95302806 0.99924914
1034 0.97706924 0.95413827 1.00000000
1035 0.97796359 0.95523649 1.00000000
1036 0.97882306 0.95632038 1.00000000
1037 0.97964900 0.95738799 1.00000000
1038 0.98044273 0.95843773 1.00000000
1039 0.98120551 0.95946832 1.00000000
1040 0.98193853 0.96047875 1.00000000
1041 0.28952106 0.25083973 0.32820239
1042 0.83973690 0.81861030 0.86086351
1043 0.90966913 0.89280624 0.92653202
1044 0.93536280 0.92111431 0.94961129
1045 0.94870255 0.93615859 0.96124651
1046 0.95704294 0.94582494 0.96826093
1047 0.96277406 0.95265866 0.97288946
1048 0.96693917 0.95773664 0.97614171
1049 0.97010412 0.96163252 0.97857572
1050 0.97261278 0.96469866 0.98052690
1051 0.97461947 0.96709340 0.98214555
1052 0.97639921 0.96913883 0.98365959
1053 0.97796738 0.97085832 0.98507644
1054 0.97938288 0.97233409 0.98643167
1055 0.98068457 0.97362487 0.98774426
1056 0.98189892 0.97477219 0.98902564
1057 0.98304484 0.97580504 0.99028465
1058 0.98413657 0.97674332 0.99152982
1059 0.98518519 0.97760005 0.99277032
1060 0.98521946 0.97762733 0.99281159
1061 0.98525366 0.97765455 0.99285277
1062 0.98617975 0.97839666 0.99396284
1063 0.98704768 0.97910778 0.99498758
1064 0.98788919 0.97981873 0.99595964
1065 0.98864976 0.98048340 0.99681612
1066 0.98936257 0.98112766 0.99759748
1067 0.99005368 0.98177353 0.99833383
1068 0.99067832 0.98237627 0.99898037
1069 0.99126373 0.98295831 0.99956915
1070 0.99183133 0.98353917 1.00000000
1071 0.99234433 0.98407878 1.00000000
1072 0.99284172 0.98461583 1.00000000
1073 0.99329126 0.98511356 1.00000000
1074 0.99371258 0.98559124 1.00000000
1075 0.99412107 0.98606533 1.00000000
1076 0.99449028 0.98650369 1.00000000
1077 0.99483629 0.98692359 1.00000000
1078 0.99517178 0.98733968 1.00000000
1079 0.99547500 0.98772394 1.00000000
1080 0.99576898 0.98810451 1.00000000
1081 0.13857819 0.09834912 0.17880726
1082 0.60221049 0.56349049 0.64093049
1083 0.73498328 0.70650141 0.76346515
1084 0.81267267 0.79019786 0.83514748
1085 0.86197634 0.84256628 0.88138640
1086 0.89495366 0.87704433 0.91286300
1087 0.91789044 0.90094052 0.93484037
1088 0.93433024 0.91825491 0.95040557
1089 0.94640010 0.93123577 0.96156442
1090 0.95544358 0.94121116 0.96967599
1091 0.96234671 0.94901064 0.97568278
1092 0.96771483 0.95517857 0.98025108
1093 0.97197212 0.96008595 0.98385828
1094 0.97541997 0.96399355 0.98684640
1095 0.97827310 0.96709127 0.98945492
1096 0.98068353 0.96952426 0.99184280
1097 0.98275793 0.97140920 0.99410666
1098 0.98457089 0.97284287 0.99629891
1099 0.98630137 0.97397977 0.99862297
1100 0.98642590 0.97408233 0.99876948
1101 0.98654930 0.97418448 0.99891413
1102 0.98783487 0.97528488 1.00000000
1103 0.98899757 0.97634802 1.00000000
1104 0.99013960 0.97746493 1.00000000
1105 0.99108202 0.97844594 1.00000000
1106 0.99200769 0.97946609 1.00000000
1107 0.99277157 0.98035388 1.00000000
1108 0.99352187 0.98127059 1.00000000
1109 0.99414102 0.98206435 1.00000000
1110 0.99474918 0.98288127 1.00000000
1111 0.99525103 0.98358720 1.00000000
1112 0.99574397 0.98431299 1.00000000
1113 0.99615074 0.98493998 1.00000000
1114 0.99655029 0.98558477 1.00000000
1115 0.99688000 0.98614213 1.00000000
1116 0.99720385 0.98671584 1.00000000
1117 0.99747110 0.98721234 1.00000000
1118 0.99773359 0.98772407 1.00000000
1119 0.99795021 0.98816756 1.00000000
1120 0.99816297 0.98862536 1.00000000
1121 0.06994467 0.05677656 0.08311278
1122 0.61280361 0.57996999 0.64563722
1123 0.77559181 0.74803152 0.80315209
1124 0.84858102 0.82482259 0.87233946
1125 0.88763736 0.86632834 0.90894638
1126 0.91132824 0.89159384 0.93106265
1127 0.92712485 0.90851433 0.94573536
1128 0.93838891 0.92069705 0.95608077
1129 0.94677884 0.92991231 0.96364536
1130 0.95352031 0.93747083 0.96956979
1131 0.95842169 0.94309903 0.97374434
1132 0.96225639 0.94761153 0.97690126
1133 0.96527460 0.95124649 0.97930272
1134 0.96766469 0.95417675 0.98115263
1135 0.96957087 0.95652945 0.98261229
1136 0.97110286 0.95839754 0.98380819
1137 0.97234201 0.95984800 0.98483603
1138 0.97334585 0.96092814 0.98576357
1139 0.97419355 0.96170376 0.98668333
1140 0.97423524 0.96173994 0.98673054
1141 0.97427686 0.96177590 0.98677783
1142 0.97493376 0.96232568 0.98754185
1143 0.97557389 0.96283840 0.98830938
1144 0.97619766 0.96332693 0.98906840
1145 0.97684298 0.96382986 0.98985610
1146 0.97743435 0.96429490 0.99057380
1147 0.97801062 0.96475641 0.99126482
1148 0.97857217 0.96521729 0.99192704
1149 0.97915311 0.96570830 0.99259792
1150 0.97968548 0.96617272 0.99319825
1151 0.98020426 0.96663979 0.99376873
1152 0.98070979 0.96710954 0.99431003
1153 0.98123278 0.96761134 0.99485421
1154 0.98171204 0.96808570 0.99533839
1155 0.98217907 0.96856154 0.99579659
1156 0.98263416 0.96903828 0.99623005
1157 0.98310498 0.96954511 0.99666485
1158 0.98353643 0.97002176 0.99705110
1159 0.98395687 0.97049743 0.99741630
1160 0.98439182 0.97100112 0.99778252
$coverage_based
Assemblage SC m Method Order.q qD qD.LCL
1 BE10 0.39408454 1 Rarefaction 0 1.000005 0.8859436
2 BE10 0.81624219 15 Rarefaction 0 5.138523 4.1650546
3 BE10 0.89466844 30 Rarefaction 0 7.261202 6.0331477
4 BE10 0.92783460 44 Rarefaction 0 8.493793 6.9768760
5 BE10 0.94612196 59 Rarefaction 0 9.433918 7.6127447
6 BE10 0.95625439 74 Rarefaction 0 10.164353 8.0672971
7 BE10 0.96206318 88 Rarefaction 0 10.736163 8.4092643
8 BE10 0.96623309 103 Rarefaction 0 11.274110 8.7358372
9 BE10 0.96906748 117 Rarefaction 0 11.727560 9.0202322
10 BE10 0.97146996 132 Rarefaction 0 12.174118 9.2715283
11 BE10 0.97349012 147 Rarefaction 0 12.587567 9.4387391
12 BE10 0.97516349 161 Rarefaction 0 12.947639 9.5534290
13 BE10 0.97680512 176 Rarefaction 0 13.308532 9.6358447
14 BE10 0.97823491 190 Rarefaction 0 13.623868 9.6691633
15 BE10 0.97968357 205 Rarefaction 0 13.940110 9.6760175
16 BE10 0.98106612 220 Rarefaction 0 14.235107 9.6513445
17 BE10 0.98231255 234 Rarefaction 0 14.492039 9.6069189
18 BE10 0.98361695 249 Rarefaction 0 14.748190 9.5387398
19 BE10 0.98490566 263 Rarefaction 0 14.973973 9.4376582
20 BE10 0.98499094 265 Observed 0 15.000000 9.4416645
21 BE10 0.98507574 266 Extrapolation 0 15.015009 9.4328455
22 BE10 0.98613547 279 Extrapolation 0 15.202582 9.3445909
23 BE10 0.98719272 293 Extrapolation 0 15.389716 9.2563251
24 BE10 0.98816936 307 Extrapolation 0 15.562580 9.1796247
25 BE10 0.98907151 321 Extrapolation 0 15.722262 9.1518016
26 BE10 0.98990488 335 Extrapolation 0 15.869767 9.0694023
27 BE10 0.99067469 349 Extrapolation 0 16.006024 8.9879721
28 BE10 0.99138580 363 Extrapolation 0 16.131891 8.9086691
29 BE10 0.99204269 377 Extrapolation 0 16.248159 8.8325939
30 BE10 0.99264948 391 Extrapolation 0 16.355562 8.7612019
31 BE10 0.99317142 404 Extrapolation 0 16.447945 8.6980917
32 BE10 0.99369214 418 Extrapolation 0 16.540113 8.6330131
33 BE10 0.99417315 432 Extrapolation 0 16.625252 8.5710627
34 BE10 0.99461749 446 Extrapolation 0 16.703899 8.5123001
35 BE10 0.99502793 460 Extrapolation 0 16.776548 8.4567229
36 BE10 0.99540708 474 Extrapolation 0 16.843658 8.4042891
37 BE10 0.99575732 488 Extrapolation 0 16.905650 8.3549235
38 BE10 0.99608085 502 Extrapolation 0 16.962915 8.3085285
39 BE10 0.99637971 516 Extrapolation 0 17.015813 8.2650456
40 BE10 0.99665578 530 Extrapolation 0 17.064677 8.2244984
41 BE11 0.11437155 1 Rarefaction 0 1.000000 0.8957679
42 BE11 0.71404943 24 Rarefaction 0 12.039820 10.7415612
43 BE11 0.83540696 47 Rarefaction 0 17.059839 15.3441288
44 BE11 0.89049749 71 Rarefaction 0 20.301219 18.3365177
45 BE11 0.91979579 94 Rarefaction 0 22.469925 20.3443992
46 BE11 0.93844882 117 Rarefaction 0 24.094760 21.8369730
47 BE11 0.95154503 141 Rarefaction 0 25.411433 23.0077923
48 BE11 0.96032454 164 Rarefaction 0 26.423741 23.8508866
49 BE11 0.96693307 188 Rarefaction 0 27.295731 24.5078926
50 BE11 0.97160537 211 Rarefaction 0 28.002310 24.9715527
51 BE11 0.97513590 234 Rarefaction 0 28.614707 25.2860019
52 BE11 0.97793683 258 Rarefaction 0 29.177696 25.1318399
53 BE11 0.97999182 281 Rarefaction 0 29.661528 24.6915756
54 BE11 0.98164234 305 Rarefaction 0 30.121871 24.1638311
55 BE11 0.98286542 328 Rarefaction 0 30.530064 23.7275224
56 BE11 0.98382524 351 Rarefaction 0 30.913169 23.4166924
57 BE11 0.98462189 375 Rarefaction 0 31.291853 23.2098724
58 BE11 0.98524932 398 Rarefaction 0 31.638444 23.0949926
59 BE11 0.98581560 421 Rarefaction 0 31.975202 23.0300191
60 BE11 0.98583798 423 Observed 0 32.000000 23.0390976
61 BE11 0.98586031 424 Extrapolation 0 32.014162 23.0366908
62 BE11 0.98634292 446 Extrapolation 0 32.320137 22.9878548
63 BE11 0.98680906 468 Extrapolation 0 32.615669 22.9407719
64 BE11 0.98725929 490 Extrapolation 0 32.901113 22.8967276
65 BE11 0.98769415 512 Extrapolation 0 33.176815 22.8584469
66 BE11 0.98813292 535 Extrapolation 0 33.454993 22.8376911
67 BE11 0.98853796 557 Extrapolation 0 33.711790 22.8221215
68 BE11 0.98892918 579 Extrapolation 0 33.959822 22.7904188
69 BE11 0.98930704 601 Extrapolation 0 34.199389 22.7574659
70 BE11 0.98967201 623 Extrapolation 0 34.430778 22.7237061
71 BE11 0.99004026 646 Extrapolation 0 34.664246 22.6879603
72 BE11 0.99038020 668 Extrapolation 0 34.879769 22.6536785
73 BE11 0.99070854 690 Extrapolation 0 35.087936 22.6195547
74 BE11 0.99102567 712 Extrapolation 0 35.288999 22.5855532
75 BE11 0.99133198 734 Extrapolation 0 35.483198 22.5518117
76 BE11 0.99164104 757 Extrapolation 0 35.679142 22.5169713
77 BE11 0.99192634 779 Extrapolation 0 35.860025 22.4841903
78 BE11 0.99220191 801 Extrapolation 0 36.034734 22.4520517
79 BE11 0.99246807 823 Extrapolation 0 36.203481 22.4206542
80 BE11 0.99273662 846 Extrapolation 0 36.373742 22.3887253
81 BE12 0.11947921 1 Rarefaction 0 1.000000 0.8618204
82 BE12 0.63117812 12 Rarefaction 0 7.345013 6.0245911
83 BE12 0.77676623 24 Rarefaction 0 10.836122 9.1529821
84 BE12 0.83948693 35 Rarefaction 0 12.944977 11.0918267
85 BE12 0.87978515 47 Rarefaction 0 14.630595 12.6749123
86 BE12 0.90448130 58 Rarefaction 0 15.821996 13.8313035
87 BE12 0.92414757 70 Rarefaction 0 16.854248 14.8810322
88 BE12 0.93794572 81 Rarefaction 0 17.616638 15.7026278
89 BE12 0.94978665 93 Rarefaction 0 18.293312 16.4674331
90 BE12 0.95842030 104 Rarefaction 0 18.800802 17.0358185
91 BE12 0.96594846 116 Rarefaction 0 19.256609 17.4978314
92 BE12 0.97145820 127 Rarefaction 0 19.602545 17.7012377
93 BE12 0.97625071 139 Rarefaction 0 19.917558 17.4968649
94 BE12 0.97974725 150 Rarefaction 0 20.160627 17.1880960
95 BE12 0.98279641 162 Rarefaction 0 20.386195 16.8531824
96 BE12 0.98505792 173 Rarefaction 0 20.563733 16.5740569
97 BE12 0.98711297 185 Rarefaction 0 20.731389 16.3058687
98 BE12 0.98875698 196 Rarefaction 0 20.864776 16.0768639
99 BE12 0.99043062 208 Rarefaction 0 20.989324 15.8251831
100 BE12 0.99056668 209 Observed 0 21.000000 15.8059335
101 BE12 0.99070080 210 Extrapolation 0 21.009433 15.7856407
102 BE12 0.99194150 220 Extrapolation 0 21.096696 15.5910671
103 BE12 0.99311595 231 Extrapolation 0 21.179299 15.4029456
104 BE12 0.99411924 242 Extrapolation 0 21.249863 15.2396651
105 BE12 0.99497630 253 Extrapolation 0 21.310144 15.0988658
106 BE12 0.99570846 264 Extrapolation 0 21.361639 14.9782045
107 BE12 0.99633391 275 Extrapolation 0 21.405629 14.8742977
108 BE12 0.99686821 286 Extrapolation 0 21.443208 14.7849159
109 BE12 0.99732464 297 Extrapolation 0 21.475310 14.7081231
110 BE12 0.99771455 308 Extrapolation 0 21.502734 14.6422080
111 BE12 0.99804763 319 Extrapolation 0 21.526160 14.5856765
112 BE12 0.99833217 330 Extrapolation 0 21.546173 14.5372208
113 BE12 0.99857524 341 Extrapolation 0 21.563269 14.4957073
114 BE12 0.99878289 352 Extrapolation 0 21.577873 14.4601568
115 BE12 0.99896027 363 Extrapolation 0 21.590349 14.4297244
116 BE12 0.99911180 374 Extrapolation 0 21.601007 14.4036807
117 BE12 0.99924125 385 Extrapolation 0 21.610111 14.3813978
118 BE12 0.99935183 396 Extrapolation 0 21.617889 14.3623368
119 BE12 0.99944629 407 Extrapolation 0 21.624533 14.3460352
120 BE12 0.99952699 418 Extrapolation 0 21.630209 14.3320953
121 BE13 0.05300481 1 Rarefaction 0 1.000000 0.9773217
122 BE13 0.58115955 19 Rarefaction 0 12.630229 11.2103841
123 BE13 0.75773941 37 Rarefaction 0 18.418020 16.2212535
124 BE13 0.83515803 56 Rarefaction 0 22.229057 19.3737189
125 BE13 0.87190830 74 Rarefaction 0 24.851476 21.4346937
126 BE13 0.89330283 92 Rarefaction 0 26.959730 23.0149839
127 BE13 0.90762563 111 Rarefaction 0 28.848596 24.3823946
128 BE13 0.91701137 129 Rarefaction 0 30.427140 25.4949519
129 BE13 0.92445702 148 Rarefaction 0 31.933920 26.5221503
130 BE13 0.93012965 166 Rarefaction 0 33.243929 27.3711367
131 BE13 0.93495832 184 Rarefaction 0 34.459532 28.1047769
132 BE13 0.93943469 203 Rarefaction 0 35.654193 28.7618225
133 BE13 0.94324420 221 Rarefaction 0 36.711439 29.2875023
134 BE13 0.94690765 240 Rarefaction 0 37.756304 29.7593638
135 BE13 0.95009556 258 Rarefaction 0 38.684491 30.1506288
136 BE13 0.95304544 276 Rarefaction 0 39.557362 30.4924772
137 BE13 0.95593050 295 Rarefaction 0 40.423183 30.8138410
138 BE13 0.95846878 313 Rarefaction 0 41.194587 31.0639419
139 BE13 0.96096096 332 Rarefaction 0 41.946537 31.2461195
140 BE13 0.96108718 333 Observed 0 42.000000 31.2709771
141 BE13 0.96121300 334 Extrapolation 0 42.038913 31.2771191
142 BE13 0.96329068 351 Extrapolation 0 42.681509 31.4104522
143 BE13 0.96525706 368 Extrapolation 0 43.289684 31.5148929
144 BE13 0.96722443 386 Extrapolation 0 43.898162 31.5976989
145 BE13 0.96898010 403 Extrapolation 0 44.441165 31.6531696
146 BE13 0.97073664 421 Extrapolation 0 44.984440 31.6909868
147 BE13 0.97230417 438 Extrapolation 0 45.469255 31.7109284
148 BE13 0.97387249 456 Extrapolation 0 45.954312 31.7202374
149 BE13 0.97527204 473 Extrapolation 0 46.387175 31.7160117
150 BE13 0.97667230 491 Extrapolation 0 46.820254 31.7003654
151 BE13 0.97792188 508 Extrapolation 0 47.206731 31.6772975
152 BE13 0.97917208 526 Extrapolation 0 47.593401 31.6461479
153 BE13 0.98028776 543 Extrapolation 0 47.938464 31.6120364
154 BE13 0.98140399 561 Extrapolation 0 48.283699 31.5723410
155 BE13 0.98240011 578 Extrapolation 0 48.591784 31.5325083
156 BE13 0.98339673 596 Extrapolation 0 48.900024 31.4890154
157 BE13 0.98428611 613 Extrapolation 0 49.175096 31.4473449
158 BE13 0.98517593 631 Extrapolation 0 49.450305 31.4031042
159 BE13 0.98597000 648 Extrapolation 0 49.695900 31.3615791
160 BE13 0.98676447 666 Extrapolation 0 49.941617 31.3181962
161 BE14 0.05725589 1 Rarefaction 0 1.000000 0.9248920
162 BE14 0.57652840 20 Rarefaction 0 13.090894 11.5567330
163 BE14 0.74386538 40 Rarefaction 0 19.715455 17.3489505
164 BE14 0.81844953 60 Rarefaction 0 24.044830 20.9438971
165 BE14 0.85726202 79 Rarefaction 0 27.113811 23.3756809
166 BE14 0.88286082 99 Rarefaction 0 29.707402 25.3819697
167 BE14 0.90032026 119 Rarefaction 0 31.874375 27.0433822
168 BE14 0.91248101 138 Rarefaction 0 33.653498 28.3981850
169 BE14 0.92225218 158 Rarefaction 0 35.306795 29.6445956
170 BE14 0.92985846 178 Rarefaction 0 36.786474 30.7456742
171 BE14 0.93563297 197 Rarefaction 0 38.065288 31.6819791
172 BE14 0.94058411 217 Rarefaction 0 39.303941 32.5594519
173 BE14 0.94467832 237 Rarefaction 0 40.452149 33.2858991
174 BE14 0.94798360 256 Rarefaction 0 41.472750 33.6696248
175 BE14 0.95101639 276 Rarefaction 0 42.483623 33.8441168
176 BE14 0.95372344 296 Rarefaction 0 43.437130 33.8054399
177 BE14 0.95608650 315 Rarefaction 0 44.294855 33.6590161
178 BE14 0.95842760 335 Rarefaction 0 45.150687 33.4379993
179 BE14 0.96067416 354 Rarefaction 0 45.937157 33.1381111
180 BE14 0.96078462 356 Observed 0 46.000000 33.1465287
181 BE14 0.96089478 357 Extrapolation 0 46.039215 33.1314697
182 BE14 0.96282550 375 Extrapolation 0 46.726552 32.8566348
183 BE14 0.96476016 394 Extrapolation 0 47.415292 32.5637735
184 BE14 0.96659414 413 Extrapolation 0 48.068189 32.2794712
185 BE14 0.96824347 431 Extrapolation 0 48.655350 32.0227512
186 BE14 0.96989617 450 Extrapolation 0 49.243710 31.7688823
187 BE14 0.97146286 469 Extrapolation 0 49.801451 31.5362298
188 BE14 0.97287180 487 Extrapolation 0 50.303037 31.3369513
189 BE14 0.97428363 506 Extrapolation 0 50.805647 31.1289372
190 BE14 0.97562198 525 Extrapolation 0 51.282100 30.9213746
191 BE14 0.97682558 543 Extrapolation 0 51.710582 30.7264262
192 BE14 0.97803164 562 Extrapolation 0 52.139940 30.5239228
193 BE14 0.97917494 581 Extrapolation 0 52.546952 30.3254485
194 BE14 0.98020312 599 Extrapolation 0 52.912986 30.1418696
195 BE14 0.98123341 618 Extrapolation 0 53.279767 29.9532708
196 BE14 0.98221007 637 Extrapolation 0 53.627460 29.7702665
197 BE14 0.98308841 655 Extrapolation 0 53.940146 29.6025025
198 BE14 0.98396853 674 Extrapolation 0 54.253471 29.4311867
199 BE14 0.98480285 693 Extrapolation 0 54.550490 29.2663715
200 BE14 0.98559375 712 Extrapolation 0 54.832051 29.1079531
201 BE15 0.03682863 1 Rarefaction 0 1.000007 0.9750286
202 BE15 0.27403269 9 Rarefaction 0 7.814114 6.5423383
203 BE15 0.45201084 18 Rarefaction 0 13.581024 11.4866509
204 BE15 0.55989945 26 Rarefaction 0 17.562950 14.9234162
205 BE15 0.64541235 35 Rarefaction 0 21.159341 17.9959553
206 BE15 0.70633001 44 Rarefaction 0 24.092473 20.4491380
207 BE15 0.74681802 52 Rarefaction 0 26.293255 22.2514707
208 BE15 0.78188506 61 Rarefaction 0 28.424767 23.9681525
209 BE15 0.80642382 69 Rarefaction 0 30.080358 25.2830538
210 BE15 0.82864400 78 Rarefaction 0 31.730039 26.5717559
211 BE15 0.84663366 87 Rarefaction 0 33.197592 27.6851828
212 BE15 0.85993315 95 Rarefaction 0 34.376520 28.5250805
213 BE15 0.87255116 104 Rarefaction 0 35.585025 29.1045738
214 BE15 0.88211068 112 Rarefaction 0 36.570247 27.6139193
215 BE15 0.89137544 121 Rarefaction 0 37.593140 25.4584645
216 BE15 0.89936200 130 Rarefaction 0 38.537966 23.4037426
217 BE15 0.90558182 138 Rarefaction 0 39.320806 21.7928404
218 BE15 0.91175739 147 Rarefaction 0 40.145276 20.2102330
219 BE15 0.91719745 156 Rarefaction 0 40.889723 18.8048464
220 BE15 0.91776515 157 Observed 0 41.000000 18.6897905
221 BE15 0.91832895 158 Extrapolation 0 41.082235 18.5472719
222 BE15 0.92270243 166 Extrapolation 0 41.720138 17.4344988
223 BE15 0.92684171 174 Extrapolation 0 42.323882 16.3673675
224 BE15 0.93075933 182 Extrapolation 0 42.895295 15.3425372
225 BE15 0.93446717 190 Extrapolation 0 43.436109 14.3598752
226 BE15 0.93840168 199 Extrapolation 0 44.009986 13.3053192
227 BE15 0.94170027 207 Extrapolation 0 44.491108 12.4132021
228 BE15 0.94482222 215 Extrapolation 0 44.946466 11.5632450
229 BE15 0.94777698 223 Extrapolation 0 45.377440 10.7547605
230 BE15 0.95057352 231 Extrapolation 0 45.785336 9.9867753
231 BE15 0.95354103 240 Extrapolation 0 46.218168 9.1692257
232 BE15 0.95602890 248 Extrapolation 0 46.581042 8.4822281
233 BE15 0.95838355 256 Extrapolation 0 46.924485 7.8324320
234 BE15 0.96061211 264 Extrapolation 0 47.249536 7.2145435
235 BE15 0.96272133 272 Extrapolation 0 47.557180 6.6281166
236 BE15 0.96495950 281 Extrapolation 0 47.883633 6.0043205
237 BE15 0.96683592 289 Extrapolation 0 48.157322 5.4802282
238 BE15 0.96861185 297 Extrapolation 0 48.416355 4.9833149
239 BE15 0.97029268 305 Extrapolation 0 48.661516 4.5122584
240 BE15 0.97207628 314 Extrapolation 0 48.921666 4.0116427
241 BE16 0.13215078 1 Rarefaction 0 1.000000 0.9103340
242 BE16 0.72643580 20 Rarefaction 0 9.838873 8.7653947
243 BE16 0.83848640 39 Rarefaction 0 13.870647 12.4998078
244 BE16 0.89160832 58 Rarefaction 0 16.410253 14.8651119
245 BE16 0.92214177 77 Rarefaction 0 18.170956 16.5370886
246 BE16 0.94216733 97 Rarefaction 0 19.523011 17.8262913
247 BE16 0.95478907 116 Rarefaction 0 20.500838 18.7407843
248 BE16 0.96365661 135 Rarefaction 0 21.275370 19.4417480
249 BE16 0.97009659 154 Rarefaction 0 21.904830 19.9902430
250 BE16 0.97511101 174 Rarefaction 0 22.452784 20.4486399
251 BE16 0.97870991 193 Rarefaction 0 22.891794 20.7973506
252 BE16 0.98150301 212 Rarefaction 0 23.270094 21.0526460
253 BE16 0.98371261 231 Rarefaction 0 23.600869 21.1357608
254 BE16 0.98549713 250 Rarefaction 0 23.893699 21.1044668
255 BE16 0.98704331 270 Rarefaction 0 24.168590 20.9597355
256 BE16 0.98828703 289 Rarefaction 0 24.403287 20.7998431
257 BE16 0.98938008 308 Rarefaction 0 24.615804 20.6130350
258 BE16 0.99037797 327 Rarefaction 0 24.808491 20.4413585
259 BE16 0.99137931 346 Rarefaction 0 24.985996 20.2601510
260 BE16 0.99142871 348 Observed 0 25.000000 20.2565512
261 BE16 0.99147783 349 Extrapolation 0 25.008571 20.2460232
262 BE16 0.99231537 367 Extrapolation 0 25.154722 20.0729953
263 BE16 0.99307060 385 Extrapolation 0 25.286509 19.9102805
264 BE16 0.99375160 403 Extrapolation 0 25.405344 19.7592880
265 BE16 0.99439797 422 Extrapolation 0 25.518135 19.6135815
266 BE16 0.99494852 440 Extrapolation 0 25.614207 19.4873427
267 BE16 0.99544497 458 Extrapolation 0 25.700837 19.3715527
268 BE16 0.99589263 476 Extrapolation 0 25.778953 19.2657851
269 BE16 0.99631751 495 Extrapolation 0 25.853096 19.1643800
270 BE16 0.99667942 513 Extrapolation 0 25.916248 19.0772250
271 BE16 0.99700576 531 Extrapolation 0 25.973195 18.9977994
272 BE16 0.99730003 549 Extrapolation 0 26.024544 18.9253436
273 BE16 0.99757932 568 Extrapolation 0 26.073282 18.8560872
274 BE16 0.99781722 586 Extrapolation 0 26.114795 18.7967617
275 BE16 0.99803174 604 Extrapolation 0 26.152228 18.7430135
276 BE16 0.99822518 622 Extrapolation 0 26.185983 18.6943492
277 BE16 0.99840877 641 Extrapolation 0 26.218021 18.6479920
278 BE16 0.99856516 659 Extrapolation 0 26.245309 18.6083811
279 BE16 0.99870617 677 Extrapolation 0 26.269916 18.5725668
280 BE16 0.99884001 696 Extrapolation 0 26.293271 18.5384919
281 BE17 0.05198763 1 Rarefaction 0 1.000003 0.9532194
282 BE17 0.43753991 12 Rarefaction 0 9.239211 8.0825285
283 BE17 0.63897372 24 Rarefaction 0 14.739254 13.1632922
284 BE17 0.73718204 35 Rarefaction 0 18.171697 16.4223719
285 BE17 0.80193865 47 Rarefaction 0 20.939539 19.0993581
286 BE17 0.84173095 58 Rarefaction 0 22.907155 21.0205042
287 BE17 0.87343389 70 Rarefaction 0 24.622760 22.6941153
288 BE17 0.89585196 81 Rarefaction 0 25.898287 23.9315837
289 BE17 0.91544934 93 Rarefaction 0 27.036051 25.0276779
290 BE17 0.93016542 104 Rarefaction 0 27.890091 25.8447542
291 BE17 0.94351930 116 Rarefaction 0 28.652185 26.5705030
292 BE17 0.95379193 127 Rarefaction 0 29.220579 27.1128554
293 BE17 0.96326121 139 Rarefaction 0 29.721365 27.5953597
294 BE17 0.97062394 150 Rarefaction 0 30.087637 27.9449704
295 BE17 0.97745851 162 Rarefaction 0 30.401421 28.1438964
296 BE17 0.98279493 173 Rarefaction 0 30.621954 27.8100502
297 BE17 0.98775628 185 Rarefaction 0 30.800303 27.1411050
298 BE17 0.99162707 196 Rarefaction 0 30.915086 26.4845044
299 BE17 0.99521531 208 Rarefaction 0 30.992962 25.7989282
300 BE17 0.99547629 209 Observed 0 31.000000 25.7492024
301 BE17 0.99572304 210 Extrapolation 0 31.004524 25.6998574
302 BE17 0.99755915 220 Extrapolation 0 31.038186 25.3288617
303 BE17 0.99868299 231 Extrapolation 0 31.058789 25.0987921
304 BE17 0.99928938 242 Extrapolation 0 31.069907 24.9737979
305 BE17 0.99961657 253 Extrapolation 0 31.075905 24.9061145
306 BE17 0.99979311 264 Extrapolation 0 31.079142 24.8695256
307 BE17 0.99988837 275 Extrapolation 0 31.080888 24.8497634
308 BE17 0.99993977 286 Extrapolation 0 31.081830 24.8390927
309 BE17 0.99996750 297 Extrapolation 0 31.082339 24.8333334
310 BE17 0.99998246 308 Extrapolation 0 31.082613 24.8302255
311 BE17 0.99999054 319 Extrapolation 0 31.082761 24.8285484
312 BE17 0.99999489 330 Extrapolation 0 31.082841 24.8276435
313 BE17 0.99999725 341 Extrapolation 0 31.082884 24.8271552
314 BE17 0.99999851 352 Extrapolation 0 31.082907 24.8268918
315 BE17 0.99999920 363 Extrapolation 0 31.082920 24.8267496
316 BE17 0.99999957 374 Extrapolation 0 31.082927 24.8266729
317 BE17 0.99999977 385 Extrapolation 0 31.082930 24.8266315
318 BE17 0.99999987 396 Extrapolation 0 31.082932 24.8266092
319 BE17 0.99999993 407 Extrapolation 0 31.082933 24.8265971
320 BE17 0.99999996 418 Extrapolation 0 31.082934 24.8265906
321 BE18 0.09209837 1 Rarefaction 0 1.000015 0.9233746
322 BE18 0.62912716 21 Rarefaction 0 12.112883 10.2944004
323 BE18 0.75093743 41 Rarefaction 0 18.210636 15.5900873
324 BE18 0.81475664 62 Rarefaction 0 22.736554 19.4467238
325 BE18 0.85078840 82 Rarefaction 0 26.072385 22.2114027
326 BE18 0.87581477 103 Rarefaction 0 28.939057 24.4982058
327 BE18 0.89282127 123 Rarefaction 0 31.252804 26.2642213
328 BE18 0.90629084 144 Rarefaction 0 33.362582 27.8103110
329 BE18 0.91631973 164 Rarefaction 0 35.137729 29.0709223
330 BE18 0.92476065 185 Rarefaction 0 36.807404 30.2247130
331 BE18 0.93130597 205 Rarefaction 0 38.247900 31.1818677
332 BE18 0.93671757 225 Rarefaction 0 39.568693 31.9847400
333 BE18 0.94142393 246 Rarefaction 0 40.848993 32.4530562
334 BE18 0.94514889 266 Rarefaction 0 41.984017 32.4655424
335 BE18 0.94840708 287 Rarefaction 0 43.102250 32.3370339
336 BE18 0.95099661 307 Rarefaction 0 44.108755 32.1983183
337 BE18 0.95327517 328 Rarefaction 0 45.114333 32.1410326
338 BE18 0.95510772 348 Rarefaction 0 46.030936 32.1805344
339 BE18 0.95675676 368 Rarefaction 0 46.916623 32.2678261
340 BE18 0.95682988 370 Observed 0 47.000000 32.3159442
341 BE18 0.95690287 371 Extrapolation 0 47.043170 32.3237200
342 BE18 0.95826659 390 Extrapolation 0 47.849673 32.4654473
343 BE18 0.95958716 409 Extrapolation 0 48.630655 32.6137676
344 BE18 0.96093211 429 Extrapolation 0 49.426060 32.7553930
345 BE18 0.96216833 448 Extrapolation 0 50.157161 32.8415028
346 BE18 0.96342738 468 Extrapolation 0 50.901762 32.8951721
347 BE18 0.96458464 487 Extrapolation 0 51.586168 32.9149878
348 BE18 0.96570529 506 Extrapolation 0 52.248917 32.9108339
349 BE18 0.96684662 526 Extrapolation 0 52.923905 32.8844471
350 BE18 0.96789569 545 Extrapolation 0 53.544324 32.8425307
351 BE18 0.96896413 565 Extrapolation 0 54.176200 32.7828139
352 BE18 0.96994620 584 Extrapolation 0 54.756993 32.7137424
353 BE18 0.97094640 604 Extrapolation 0 55.348510 32.6305725
354 BE18 0.97186574 623 Extrapolation 0 55.892208 32.5435370
355 BE18 0.97275599 642 Extrapolation 0 56.418702 32.4503365
356 BE18 0.97366268 662 Extrapolation 0 56.954917 32.3470608
357 BE18 0.97449607 681 Extrapolation 0 57.447784 32.2452225
358 BE18 0.97534484 701 Extrapolation 0 57.949751 32.1351610
359 BE18 0.97612500 720 Extrapolation 0 58.411138 32.0287373
360 BE18 0.97691957 740 Extrapolation 0 58.881045 31.9155733
361 BE19 0.09812942 1 Rarefaction 0 1.000000 0.9026488
362 BE19 0.62136876 20 Rarefaction 0 11.653126 9.9324503
363 BE19 0.74983982 39 Rarefaction 0 17.536347 15.2275196
364 BE19 0.81750925 58 Rarefaction 0 21.624555 18.9177328
365 BE19 0.86006567 77 Rarefaction 0 24.681594 21.7043811
366 BE19 0.88943495 96 Rarefaction 0 27.060481 23.9052368
367 BE19 0.91096565 115 Rarefaction 0 28.957736 25.6866819
368 BE19 0.92743996 134 Rarefaction 0 30.494613 27.1445282
369 BE19 0.94042403 153 Rarefaction 0 31.751758 28.3371764
370 BE19 0.95085691 172 Rarefaction 0 32.786321 29.3049008
371 BE19 0.95933684 191 Rarefaction 0 33.640997 30.0820140
372 BE19 0.96626662 210 Rarefaction 0 34.349033 30.7007687
373 BE19 0.97193074 229 Rarefaction 0 34.937175 31.1718450
374 BE19 0.97653842 248 Rarefaction 0 35.427492 31.1637057
375 BE19 0.98024928 267 Rarefaction 0 35.838556 30.7049283
376 BE19 0.98318961 286 Rarefaction 0 36.186226 30.1211379
377 BE19 0.98546317 305 Rarefaction 0 36.484182 29.5838575
378 BE19 0.98715871 324 Rarefaction 0 36.744274 29.1792334
379 BE19 0.98840580 343 Rarefaction 0 36.979470 28.9134333
380 BE19 0.98845613 345 Observed 0 37.000000 28.9134304
381 BE19 0.98850625 346 Extrapolation 0 37.011544 28.9071845
382 BE19 0.98937207 364 Extrapolation 0 37.210970 28.7616660
383 BE19 0.99017267 382 Extrapolation 0 37.395374 28.6193486
384 BE19 0.99091295 400 Extrapolation 0 37.565887 28.4823414
385 BE19 0.99159747 418 Extrapolation 0 37.723556 28.3514486
386 BE19 0.99223043 436 Extrapolation 0 37.869347 28.2270173
387 BE19 0.99281571 454 Extrapolation 0 38.004156 28.1092576
388 BE19 0.99335690 472 Extrapolation 0 38.128809 27.9982175
389 BE19 0.99385732 490 Extrapolation 0 38.244073 27.8938163
390 BE19 0.99432004 508 Extrapolation 0 38.350654 27.7958876
391 BE19 0.99477071 527 Extrapolation 0 38.454458 27.6993127
392 BE19 0.99516463 545 Extrapolation 0 38.545191 27.6139830
393 BE19 0.99552888 563 Extrapolation 0 38.629089 27.5343559
394 BE19 0.99586569 581 Extrapolation 0 38.706667 27.4601311
395 BE19 0.99617712 599 Extrapolation 0 38.778401 27.3910075
396 BE19 0.99646510 617 Extrapolation 0 38.844731 27.3266856
397 BE19 0.99673138 635 Extrapolation 0 38.906065 27.2668733
398 BE19 0.99697760 653 Extrapolation 0 38.962778 27.2112873
399 BE19 0.99720528 671 Extrapolation 0 39.015219 27.1594761
400 BE19 0.99742702 690 Extrapolation 0 39.066295 27.1091777
401 BE2 0.07262649 1 Rarefaction 0 1.000008 0.9506702
402 BE2 0.74343162 25 Rarefaction 0 13.023071 11.8566381
403 BE2 0.86969842 49 Rarefaction 0 17.407398 15.7818668
404 BE2 0.91170859 73 Rarefaction 0 19.980528 18.0047781
405 BE2 0.93241015 97 Rarefaction 0 21.838221 19.5689977
406 BE2 0.94505087 121 Rarefaction 0 23.304229 20.7863274
407 BE2 0.95360086 145 Rarefaction 0 24.518635 21.7877607
408 BE2 0.95975632 169 Rarefaction 0 25.557722 22.6338405
409 BE2 0.96440804 193 Rarefaction 0 26.467684 23.3457235
410 BE2 0.96807227 217 Rarefaction 0 27.278151 23.9269482
411 BE2 0.97106761 241 Rarefaction 0 28.008871 24.3994000
412 BE2 0.97360130 265 Rarefaction 0 28.673350 24.8029883
413 BE2 0.97581399 289 Rarefaction 0 29.280941 25.1506148
414 BE2 0.97780377 313 Rarefaction 0 29.838156 25.4126292
415 BE2 0.97963947 337 Rarefaction 0 30.349502 25.4802162
416 BE2 0.98136873 361 Rarefaction 0 30.818091 25.3370143
417 BE2 0.98302314 385 Rarefaction 0 31.246090 25.0999922
418 BE2 0.98462199 409 Rarefaction 0 31.635050 24.7665865
419 BE2 0.98617512 432 Rarefaction 0 31.975039 24.3155402
420 BE2 0.98623868 434 Observed 0 32.000000 24.3065550
421 BE2 0.98630195 435 Extrapolation 0 32.013761 24.2862366
422 BE2 0.98762262 457 Extrapolation 0 32.301007 23.8284597
423 BE2 0.98886738 480 Extrapolation 0 32.571742 23.4115309
424 BE2 0.98998695 503 Extrapolation 0 32.815250 22.9450405
425 BE2 0.99099394 526 Extrapolation 0 33.034269 22.5029272
426 BE2 0.99186224 548 Extrapolation 0 33.223124 22.1038976
427 BE2 0.99268063 571 Extrapolation 0 33.401124 21.7122145
428 BE2 0.99341672 594 Extrapolation 0 33.561224 21.3486567
429 BE2 0.99407878 617 Extrapolation 0 33.705222 21.0138610
430 BE2 0.99467426 640 Extrapolation 0 33.834739 20.7069228
431 BE2 0.99518773 662 Extrapolation 0 33.946419 20.4380229
432 BE2 0.99567169 685 Extrapolation 0 34.051680 20.1812027
433 BE2 0.99610697 708 Extrapolation 0 34.146354 19.9478375
434 BE2 0.99649848 731 Extrapolation 0 34.231508 19.7361721
435 BE2 0.99685062 754 Extrapolation 0 34.308098 19.5444435
436 BE2 0.99715426 776 Extrapolation 0 34.374140 19.3781419
437 BE2 0.99744045 799 Extrapolation 0 34.436386 19.2206000
438 BE2 0.99769786 822 Extrapolation 0 34.492372 19.0782091
439 BE2 0.99792938 845 Extrapolation 0 34.542727 18.9497332
440 BE2 0.99813761 868 Extrapolation 0 34.588019 18.8337583
441 BE20 0.24777798 1 Rarefaction 0 1.000000 0.8301883
442 BE20 0.63765407 9 Rarefaction 0 4.998873 3.3150150
443 BE20 0.72908010 17 Rarefaction 0 7.549565 5.4892385
444 BE20 0.78904434 25 Rarefaction 0 9.491691 7.0497567
445 BE20 0.83031142 33 Rarefaction 0 11.025321 8.1331236
446 BE20 0.85976895 41 Rarefaction 0 12.273574 8.7916637
447 BE20 0.88382201 50 Rarefaction 0 13.433703 8.9464795
448 BE20 0.89977722 58 Rarefaction 0 14.304538 6.8957696
449 BE20 0.91214270 66 Rarefaction 0 15.061033 4.0675166
450 BE20 0.92183727 74 Rarefaction 0 15.728438 1.7406524
451 BE20 0.92947966 82 Rarefaction 0 16.325806 0.0000000
452 BE20 0.93550847 90 Rarefaction 0 16.867927 0.0000000
453 BE20 0.94076516 99 Rarefaction 0 17.426260 0.0000000
454 BE20 0.94435685 107 Rarefaction 0 17.886973 0.0000000
455 BE20 0.94713630 115 Rarefaction 0 18.321914 0.0000000
456 BE20 0.94926245 123 Rarefaction 0 18.737001 0.0000000
457 BE20 0.95086636 131 Rarefaction 0 19.136982 0.0000000
458 BE20 0.95205760 139 Rarefaction 0 19.525644 0.0000000
459 BE20 0.95302013 148 Rarefaction 0 19.931441 0.0000000
460 BE20 0.95311065 149 Observed 0 20.000000 0.0000000
461 BE20 0.95320100 150 Extrapolation 0 20.046889 0.0000000
462 BE20 0.95382856 157 Extrapolation 0 20.372595 0.0000000
463 BE20 0.95453548 165 Extrapolation 0 20.739485 0.0000000
464 BE20 0.95523157 173 Extrapolation 0 21.100758 0.0000000
465 BE20 0.95591701 181 Extrapolation 0 21.456499 0.0000000
466 BE20 0.95650815 188 Extrapolation 0 21.763302 0.0000000
467 BE20 0.95717404 196 Extrapolation 0 22.108900 0.0000000
468 BE20 0.95782974 204 Extrapolation 0 22.449206 0.0000000
469 BE20 0.95847540 212 Extrapolation 0 22.784301 0.0000000
470 BE20 0.95911117 220 Extrapolation 0 23.114267 0.0000000
471 BE20 0.95965948 227 Extrapolation 0 23.398839 0.0000000
472 BE20 0.96027712 235 Extrapolation 0 23.719395 0.0000000
473 BE20 0.96088530 243 Extrapolation 0 24.035044 0.0000000
474 BE20 0.96148418 251 Extrapolation 0 24.345859 0.0000000
475 BE20 0.96207388 259 Extrapolation 0 24.651916 0.0000000
476 BE20 0.96258246 266 Extrapolation 0 24.915869 0.0000000
477 BE20 0.96315535 274 Extrapolation 0 25.213198 0.0000000
478 BE20 0.96371947 282 Extrapolation 0 25.505975 0.0000000
479 BE20 0.96427495 290 Extrapolation 0 25.794270 0.0000000
480 BE20 0.96482193 298 Extrapolation 0 26.078150 0.0000000
481 BE21 0.06068730 1 Rarefaction 0 1.000000 0.9316096
482 BE21 0.61740609 21 Rarefaction 0 13.115675 11.7649332
483 BE21 0.78513848 42 Rarefaction 0 19.201213 17.4051099
484 BE21 0.86027063 63 Rarefaction 0 22.873653 20.7052589
485 BE21 0.89945220 83 Rarefaction 0 25.261994 22.7513436
486 BE21 0.92460260 104 Rarefaction 0 27.101914 24.2460056
487 BE21 0.94107230 125 Rarefaction 0 28.509441 25.3341425
488 BE21 0.95207513 145 Rarefaction 0 29.577592 26.1319295
489 BE21 0.96053051 166 Rarefaction 0 30.494988 26.7994357
490 BE21 0.96685128 187 Rarefaction 0 31.257565 27.3341630
491 BE21 0.97147344 207 Rarefaction 0 31.874714 27.7404080
492 BE21 0.97525788 228 Rarefaction 0 32.434286 28.0849694
493 BE21 0.97822502 249 Rarefaction 0 32.922968 28.3711793
494 BE21 0.98047226 269 Rarefaction 0 33.336297 28.4908245
495 BE21 0.98235909 290 Rarefaction 0 33.726760 28.5808970
496 BE21 0.98385983 311 Rarefaction 0 34.081607 28.6509271
497 BE21 0.98499541 331 Rarefaction 0 34.393189 28.7346518
498 BE21 0.98592822 352 Rarefaction 0 34.698527 28.7912051
499 BE21 0.98663102 372 Rarefaction 0 34.979736 28.8511928
500 BE21 0.98665963 374 Observed 0 35.000000 28.8604266
501 BE21 0.98668818 375 Extrapolation 0 35.013340 28.8667671
502 BE21 0.98721918 394 Extrapolation 0 35.261452 28.9333761
503 BE21 0.98775527 414 Extrapolation 0 35.511937 28.9861701
504 BE21 0.98824370 433 Extrapolation 0 35.740160 29.0240948
505 BE21 0.98873682 453 Extrapolation 0 35.970566 29.0536438
506 BE21 0.98920924 473 Extrapolation 0 36.191308 29.0747448
507 BE21 0.98963968 492 Extrapolation 0 36.392431 29.0883720
508 BE21 0.99007424 512 Extrapolation 0 36.595478 29.0966769
509 BE21 0.99049057 532 Extrapolation 0 36.790008 29.1000827
510 BE21 0.99086990 551 Extrapolation 0 36.967249 29.0998837
511 BE21 0.99125286 571 Extrapolation 0 37.146186 29.0971913
512 BE21 0.99160178 590 Extrapolation 0 37.309219 29.0934416
513 BE21 0.99195403 610 Extrapolation 0 37.473812 29.0896821
514 BE21 0.99229152 630 Extrapolation 0 37.631501 29.0861727
515 BE21 0.99259901 649 Extrapolation 0 37.775175 29.0805588
516 BE21 0.99290944 669 Extrapolation 0 37.920223 29.0728305
517 BE21 0.99320685 689 Extrapolation 0 38.059188 29.0635816
518 BE21 0.99347782 708 Extrapolation 0 38.185802 29.0536582
519 BE21 0.99375139 728 Extrapolation 0 38.313627 29.0422588
520 BE21 0.99401349 748 Extrapolation 0 38.436091 29.0300926
521 BE22 0.11389760 1 Rarefaction 0 1.000000 0.9043025
522 BE22 0.63383206 13 Rarefaction 0 7.899470 6.7543491
523 BE22 0.78484421 26 Rarefaction 0 11.603773 9.9750728
524 BE22 0.85155042 39 Rarefaction 0 13.950398 11.9525976
525 BE22 0.88736372 52 Rarefaction 0 15.644976 13.4054151
526 BE22 0.90852845 64 Rarefaction 0 16.872635 14.4908587
527 BE22 0.92504806 77 Rarefaction 0 17.957382 15.4832457
528 BE22 0.93770177 90 Rarefaction 0 18.852568 16.3314177
529 BE22 0.94781145 103 Rarefaction 0 19.599491 17.0553759
530 BE22 0.95605909 116 Rarefaction 0 20.226704 17.6631268
531 BE22 0.96237501 128 Rarefaction 0 20.718152 18.1246751
532 BE22 0.96807363 141 Rarefaction 0 21.171920 18.5019019
533 BE22 0.97278365 154 Rarefaction 0 21.557731 18.4503544
534 BE22 0.97666412 167 Rarefaction 0 21.887441 17.9862415
535 BE22 0.97961802 179 Rarefaction 0 22.150670 17.4889216
536 BE22 0.98223039 192 Rarefaction 0 22.399347 16.9965973
537 BE22 0.98430687 205 Rarefaction 0 22.617351 16.6009914
538 BE22 0.98590600 218 Rarefaction 0 22.811278 16.3124452
539 BE22 0.98706897 231 Rarefaction 0 22.983640 16.1330838
540 BE22 0.98714318 232 Observed 0 23.000000 16.1279749
541 BE22 0.98721696 233 Extrapolation 0 23.012857 16.1199220
542 BE22 0.98807002 245 Extrapolation 0 23.161503 16.0146008
543 BE22 0.98886616 257 Extrapolation 0 23.300229 15.9137549
544 BE22 0.98960916 269 Extrapolation 0 23.429698 15.8179799
545 BE22 0.99030258 281 Extrapolation 0 23.550527 15.7274707
546 BE22 0.99094973 293 Extrapolation 0 23.663292 15.6423104
547 BE22 0.99155369 305 Extrapolation 0 23.768532 15.5623729
548 BE22 0.99216258 318 Extrapolation 0 23.874632 15.4807318
549 BE22 0.99268560 330 Extrapolation 0 23.965768 15.4096410
550 BE22 0.99317372 342 Extrapolation 0 24.050823 15.3425363
551 BE22 0.99362927 354 Extrapolation 0 24.130201 15.2792808
552 BE22 0.99405441 366 Extrapolation 0 24.204283 15.2197268
553 BE22 0.99445118 378 Extrapolation 0 24.273420 15.1637141
554 BE22 0.99485120 391 Extrapolation 0 24.343123 15.1068420
555 BE22 0.99519480 403 Extrapolation 0 24.402995 15.0576847
556 BE22 0.99551547 415 Extrapolation 0 24.458872 15.0115857
557 BE22 0.99581474 427 Extrapolation 0 24.511020 14.9682731
558 BE22 0.99609404 439 Extrapolation 0 24.559688 14.9278005
559 BE22 0.99635470 451 Extrapolation 0 24.605108 14.8898168
560 BE22 0.99661749 464 Extrapolation 0 24.650899 14.8513737
561 BE23 0.14398109 1 Rarefaction 0 1.000000 0.8874977
562 BE23 0.67438601 13 Rarefaction 0 7.303659 6.1860508
563 BE23 0.80211093 25 Rarefaction 0 10.396892 8.8781579
564 BE23 0.86004708 37 Rarefaction 0 12.413750 10.5514050
565 BE23 0.89180865 49 Rarefaction 0 13.902559 11.7320791
566 BE23 0.91378586 62 Rarefaction 0 15.168012 12.7005297
567 BE23 0.92844610 74 Rarefaction 0 16.118073 13.4017160
568 BE23 0.93994475 86 Rarefaction 0 16.910939 13.9541238
569 BE23 0.94924853 98 Rarefaction 0 17.578553 14.3714626
570 BE23 0.95743028 111 Rarefaction 0 18.187332 14.6647252
571 BE23 0.96355586 123 Rarefaction 0 18.663241 14.6802383
572 BE23 0.96853028 135 Rarefaction 0 19.072158 13.9242528
573 BE23 0.97251859 147 Rarefaction 0 19.426952 13.1924128
574 BE23 0.97565663 159 Rarefaction 0 19.738685 12.5844697
575 BE23 0.97822831 172 Rarefaction 0 20.038857 12.1181397
576 BE23 0.97993955 184 Rarefaction 0 20.290118 11.8423966
577 BE23 0.98109522 196 Rarefaction 0 20.523969 11.7149119
578 BE23 0.98175904 208 Rarefaction 0 20.746715 11.7319888
579 BE23 0.98198198 220 Rarefaction 0 20.968406 11.8899472
580 BE23 0.98203617 222 Observed 0 21.000000 11.9044825
581 BE23 0.98209020 223 Extrapolation 0 21.017964 11.9054351
582 BE23 0.98267387 234 Extrapolation 0 21.212036 11.9159907
583 BE23 0.98328894 246 Extrapolation 0 21.416544 11.9239121
584 BE23 0.98383354 257 Extrapolation 0 21.597627 11.9291608
585 BE23 0.98440744 269 Extrapolation 0 21.788447 11.9330459
586 BE23 0.98496096 281 Extrapolation 0 21.972493 11.9353484
587 BE23 0.98545108 292 Extrapolation 0 22.135458 11.9363514
588 BE23 0.98596756 304 Extrapolation 0 22.307185 11.9365593
589 BE23 0.98646570 316 Extrapolation 0 22.472817 11.9360690
590 BE23 0.98690678 327 Extrapolation 0 22.619476 11.9357852
591 BE23 0.98737157 339 Extrapolation 0 22.774021 11.9343387
592 BE23 0.98778313 350 Extrapolation 0 22.910864 11.9323701
593 BE23 0.98821682 362 Extrapolation 0 23.055065 11.9296573
594 BE23 0.98863511 374 Extrapolation 0 23.194148 11.9264887
595 BE23 0.98900549 385 Extrapolation 0 23.317299 11.9232980
596 BE23 0.98939579 397 Extrapolation 0 23.447072 11.9196317
597 BE23 0.98977223 409 Extrapolation 0 23.572239 11.9159290
598 BE23 0.99010555 420 Extrapolation 0 23.683068 11.9126804
599 BE23 0.99045679 432 Extrapolation 0 23.799857 11.9096269
600 BE23 0.99079557 444 Extrapolation 0 23.912500 11.9080143
601 BE24 0.32822193 1 Rarefaction 0 1.000001 0.8715167
602 BE24 0.76899938 18 Rarefaction 0 6.864984 5.3556859
603 BE24 0.85329053 35 Rarefaction 0 10.030666 8.2371174
604 BE24 0.89676414 52 Rarefaction 0 12.141488 10.1609939
605 BE24 0.92253699 69 Rarefaction 0 13.673474 11.5518527
606 BE24 0.94020765 87 Rarefaction 0 14.906928 12.6553413
607 BE24 0.95179681 104 Rarefaction 0 15.825389 13.4650733
608 BE24 0.96036233 121 Rarefaction 0 16.572932 14.1210008
609 BE24 0.96694561 138 Rarefaction 0 17.191822 14.6670865
610 BE24 0.97243795 156 Rarefaction 0 17.738221 15.1557142
611 BE24 0.97662723 173 Rarefaction 0 18.172099 15.5489634
612 BE24 0.98009597 190 Rarefaction 0 18.540800 15.8801423
613 BE24 0.98300766 207 Rarefaction 0 18.855179 16.1295506
614 BE24 0.98547700 224 Rarefaction 0 19.123735 16.2260892
615 BE24 0.98770162 242 Rarefaction 0 19.365698 16.2154486
616 BE24 0.98949886 259 Rarefaction 0 19.560013 16.0735170
617 BE24 0.99104790 276 Rarefaction 0 19.725817 15.8891794
618 BE24 0.99238278 293 Rarefaction 0 19.867040 15.6979208
619 BE24 0.99358974 310 Rarefaction 0 19.989164 15.4965812
620 BE24 0.99365099 312 Observed 0 20.000000 15.4910086
621 BE24 0.99371165 313 Extrapolation 0 20.006349 15.4812620
622 BE24 0.99460702 329 Extrapolation 0 20.100065 15.3234349
623 BE24 0.99537491 345 Extrapolation 0 20.180437 15.1795249
624 BE24 0.99607135 362 Extrapolation 0 20.253331 15.0425773
625 BE24 0.99663074 378 Extrapolation 0 20.311880 14.9283303
626 BE24 0.99711047 394 Extrapolation 0 20.362093 14.8275920
627 BE24 0.99754558 411 Extrapolation 0 20.407634 14.7345074
628 BE24 0.99789505 427 Extrapolation 0 20.444212 14.6586204
629 BE24 0.99819477 443 Extrapolation 0 20.475582 14.5927652
630 BE24 0.99846660 460 Extrapolation 0 20.504034 14.5324303
631 BE24 0.99868493 476 Extrapolation 0 20.526886 14.4835569
632 BE24 0.99888296 493 Extrapolation 0 20.547613 14.4389145
633 BE24 0.99904201 509 Extrapolation 0 20.564260 14.4028404
634 BE24 0.99917841 525 Extrapolation 0 20.578537 14.3717486
635 BE24 0.99930213 542 Extrapolation 0 20.591486 14.3434255
636 BE24 0.99940149 558 Extrapolation 0 20.601886 14.3205901
637 BE24 0.99948671 574 Extrapolation 0 20.610806 14.3009454
638 BE24 0.99956400 591 Extrapolation 0 20.618896 14.2830782
639 BE24 0.99962608 607 Extrapolation 0 20.625393 14.2686928
640 BE24 0.99968239 624 Extrapolation 0 20.631286 14.2556191
641 BE25 0.11156453 1 Rarefaction 0 1.000004 0.8841167
642 BE25 0.61809147 14 Rarefaction 0 8.523517 7.1790837
643 BE25 0.75669055 27 Rarefaction 0 12.536061 10.6580618
644 BE25 0.82406428 40 Rarefaction 0 15.249263 12.8913822
645 BE25 0.86210389 53 Rarefaction 0 17.287510 14.5234570
646 BE25 0.88616946 66 Rarefaction 0 18.925221 15.8338064
647 BE25 0.90276711 79 Rarefaction 0 20.299448 16.9529024
648 BE25 0.91496256 92 Rarefaction 0 21.486615 17.9438628
649 BE25 0.92436761 105 Rarefaction 0 22.533260 18.8368970
650 BE25 0.93191280 118 Rarefaction 0 23.469567 19.6446029
651 BE25 0.93817443 131 Rarefaction 0 24.315981 20.3691754
652 BE25 0.94352879 144 Rarefaction 0 25.086767 21.0069141
653 BE25 0.94823277 157 Rarefaction 0 25.792079 21.5580237
654 BE25 0.95246863 170 Rarefaction 0 26.439213 22.0371740
655 BE25 0.95636962 183 Rarefaction 0 27.033413 22.4492034
656 BE25 0.96003419 196 Rarefaction 0 27.578409 22.7613152
657 BE25 0.96353391 209 Rarefaction 0 28.076820 22.8960973
658 BE25 0.96691767 222 Rarefaction 0 28.530470 22.7911307
659 BE25 0.97046414 236 Rarefaction 0 28.967217 22.4178813
660 BE25 0.97071234 237 Observed 0 29.000000 22.3864054
661 BE25 0.97095845 238 Extrapolation 0 29.029288 22.3514298
662 BE25 0.97375538 250 Extrapolation 0 29.362122 21.9052497
663 BE25 0.97628294 262 Extrapolation 0 29.662902 21.4396033
664 BE25 0.97874718 275 Extrapolation 0 29.956147 20.9436307
665 BE25 0.98079400 287 Extrapolation 0 30.199717 20.5052806
666 BE25 0.98278953 300 Extrapolation 0 30.437187 20.0590823
667 BE25 0.98444704 312 Extrapolation 0 30.634429 19.6762782
668 BE25 0.98594491 324 Extrapolation 0 30.812676 19.3219891
669 BE25 0.98740526 337 Extrapolation 0 30.986458 18.9681395
670 BE25 0.98861823 349 Extrapolation 0 31.130801 18.6728198
671 BE25 0.98980081 362 Extrapolation 0 31.271529 18.3802251
672 BE25 0.99078308 374 Extrapolation 0 31.388418 18.1350352
673 BE25 0.99174073 387 Extrapolation 0 31.502379 17.8938503
674 BE25 0.99253616 399 Extrapolation 0 31.597035 17.6930569
675 BE25 0.99325499 411 Extrapolation 0 31.682576 17.5103816
676 BE25 0.99395581 424 Extrapolation 0 31.765973 17.3315391
677 BE25 0.99453791 436 Extrapolation 0 31.835243 17.1824585
678 BE25 0.99510543 449 Extrapolation 0 31.902778 17.0366684
679 BE25 0.99557682 461 Extrapolation 0 31.958873 16.9152528
680 BE25 0.99603639 474 Extrapolation 0 32.013563 16.7966071
681 BE26 0.17649032 1 Rarefaction 0 1.000011 0.8681229
682 BE26 0.71248632 17 Rarefaction 0 8.294866 7.0966089
683 BE26 0.82161090 34 Rarefaction 0 12.173888 10.6060281
684 BE26 0.87302787 51 Rarefaction 0 14.750612 12.8504866
685 BE26 0.90285857 68 Rarefaction 0 16.650579 14.4918133
686 BE26 0.92223509 85 Rarefaction 0 18.136340 15.7913121
687 BE26 0.93573896 102 Rarefaction 0 19.343969 16.8637966
688 BE26 0.94510913 118 Rarefaction 0 20.298432 17.7190836
689 BE26 0.95270880 135 Rarefaction 0 21.167954 18.5001455
690 BE26 0.95862308 152 Rarefaction 0 21.922608 19.1759219
691 BE26 0.96334193 169 Rarefaction 0 22.586843 19.7649758
692 BE26 0.96719787 186 Rarefaction 0 23.178151 20.2799286
693 BE26 0.97042646 203 Rarefaction 0 23.709207 20.7286219
694 BE26 0.97304684 219 Rarefaction 0 24.162274 21.0924500
695 BE26 0.97550935 236 Rarefaction 0 24.600382 21.4082343
696 BE26 0.97773520 253 Rarefaction 0 24.998639 21.5886320
697 BE26 0.97979580 270 Rarefaction 0 25.360463 21.6220882
698 BE26 0.98174177 287 Rarefaction 0 25.688233 21.4665804
699 BE26 0.98360656 303 Rarefaction 0 25.973329 21.1905843
700 BE26 0.98371370 305 Observed 0 26.000000 21.1840568
701 BE26 0.98382015 306 Extrapolation 0 26.016286 21.1664835
702 BE26 0.98543170 322 Extrapolation 0 26.262853 20.8746049
703 BE26 0.98688273 338 Extrapolation 0 26.484861 20.5817993
704 BE26 0.98818924 354 Extrapolation 0 26.684756 20.3077512
705 BE26 0.98936561 370 Extrapolation 0 26.864742 20.0416590
706 BE26 0.99042482 386 Extrapolation 0 27.026800 19.7902348
707 BE26 0.99137853 402 Extrapolation 0 27.172718 19.5554205
708 BE26 0.99223724 418 Extrapolation 0 27.304101 19.3383110
709 BE26 0.99301043 434 Extrapolation 0 27.422399 19.1393256
710 BE26 0.99370660 450 Extrapolation 0 27.528914 18.9594194
711 BE26 0.99433344 466 Extrapolation 0 27.624819 18.7959996
712 BE26 0.99489784 482 Extrapolation 0 27.711173 18.6470460
713 BE26 0.99540602 498 Extrapolation 0 27.788925 18.5115726
714 BE26 0.99586359 514 Extrapolation 0 27.858933 18.3885678
715 BE26 0.99627559 530 Extrapolation 0 27.921968 18.2770338
716 BE26 0.99664655 546 Extrapolation 0 27.978725 18.1760097
717 BE26 0.99698056 562 Extrapolation 0 28.029829 18.0845854
718 BE26 0.99728130 578 Extrapolation 0 28.075842 18.0019082
719 BE26 0.99755209 594 Extrapolation 0 28.117273 17.9271859
720 BE26 0.99779591 610 Extrapolation 0 28.154577 17.8596868
721 BE27 0.08308635 1 Rarefaction 0 1.000004 0.9219737
722 BE27 0.62880853 18 Rarefaction 0 10.875745 9.4794987
723 BE27 0.76764436 35 Rarefaction 0 15.893032 13.6774282
724 BE27 0.82946971 52 Rarefaction 0 19.289492 16.3399836
725 BE27 0.86321009 69 Rarefaction 0 21.893523 18.3033600
726 BE27 0.88522295 87 Rarefaction 0 24.154245 19.9870995
727 BE27 0.89941483 104 Rarefaction 0 25.985423 21.3590808
728 BE27 0.91002167 121 Rarefaction 0 27.606655 22.5855746
729 BE27 0.91842870 138 Rarefaction 0 29.066563 23.6943336
730 BE27 0.92575202 156 Rarefaction 0 30.470592 24.7546840
731 BE27 0.93160818 173 Rarefaction 0 31.684711 25.6576217
732 BE27 0.93667686 190 Rarefaction 0 32.805833 26.4712968
733 BE27 0.94110356 207 Rarefaction 0 33.846082 27.1985616
734 BE27 0.94498420 224 Rarefaction 0 34.815560 27.8343374
735 BE27 0.94857320 242 Rarefaction 0 35.774586 28.4140911
736 BE27 0.95152591 259 Rarefaction 0 36.624651 28.8972794
737 BE27 0.95409683 276 Rarefaction 0 37.427632 29.3277421
738 BE27 0.95632134 293 Rarefaction 0 38.189723 29.7442807
739 BE27 0.95833333 310 Rarefaction 0 38.917532 30.1529411
740 BE27 0.95843614 312 Observed 0 39.000000 30.2216212
741 BE27 0.95853869 313 Extrapolation 0 39.041564 30.2402495
742 BE27 0.96014551 329 Extrapolation 0 39.692809 30.6313309
743 BE27 0.96169006 345 Extrapolation 0 40.318816 31.0116228
744 BE27 0.96326561 362 Extrapolation 0 40.957387 31.3844022
745 BE27 0.96468925 378 Extrapolation 0 41.534385 31.7069626
746 BE27 0.96605771 394 Extrapolation 0 42.089022 32.0032573
747 BE27 0.96745363 411 Extrapolation 0 42.654791 32.2937359
748 BE27 0.96871496 427 Extrapolation 0 43.166006 32.5465467
749 BE27 0.96992740 443 Extrapolation 0 43.657410 32.7785972
750 BE27 0.97116418 460 Extrapolation 0 44.158677 33.0033625
751 BE27 0.97228171 476 Extrapolation 0 44.611610 33.2008578
752 BE27 0.97342166 493 Extrapolation 0 45.073633 33.3920015
753 BE27 0.97445170 509 Extrapolation 0 45.491107 33.5519853
754 BE27 0.97544182 525 Extrapolation 0 45.892402 33.7104715
755 BE27 0.97645181 542 Extrapolation 0 46.301752 33.8599110
756 BE27 0.97736441 558 Extrapolation 0 46.671630 33.9894447
757 BE27 0.97824165 574 Extrapolation 0 47.027174 34.1092622
758 BE27 0.97913649 591 Extrapolation 0 47.389854 34.2270967
759 BE27 0.97994505 607 Extrapolation 0 47.717564 34.3298770
760 BE27 0.98076984 624 Extrapolation 0 48.051851 34.4298754
761 BE28 0.07690575 1 Rarefaction 0 1.000000 0.9499985
762 BE28 0.59781719 15 Rarefaction 0 9.699110 8.4218380
763 BE28 0.76084622 30 Rarefaction 0 14.392766 12.3171599
764 BE28 0.83276122 45 Rarefaction 0 17.418907 14.8298760
765 BE28 0.87147042 59 Rarefaction 0 19.488163 16.5664383
766 BE28 0.89842546 74 Rarefaction 0 21.213805 18.0305590
767 BE28 0.91688642 89 Rarefaction 0 22.600171 19.2158800
768 BE28 0.93019342 104 Rarefaction 0 23.748697 20.1988947
769 BE28 0.93961588 118 Rarefaction 0 24.662034 20.9773918
770 BE28 0.94754955 133 Rarefaction 0 25.509952 21.6920572
771 BE28 0.95390878 148 Rarefaction 0 26.250541 22.2947120
772 BE28 0.95879774 162 Rarefaction 0 26.863021 22.7383095
773 BE28 0.96316970 177 Rarefaction 0 27.449457 22.8979786
774 BE28 0.96681914 192 Rarefaction 0 27.975553 22.6194400
775 BE28 0.96986874 207 Rarefaction 0 28.451233 22.2800129
776 BE28 0.97225314 221 Rarefaction 0 28.857092 21.9459872
777 BE28 0.97437953 236 Rarefaction 0 29.257897 21.6158436
778 BE28 0.97612038 251 Rarefaction 0 29.629572 21.3461521
779 BE28 0.97752809 265 Rarefaction 0 29.963526 21.1515485
780 BE28 0.97761225 267 Observed 0 30.000000 21.1563689
781 BE28 0.97769610 268 Extrapolation 0 30.022388 21.1470052
782 BE28 0.97883755 282 Extrapolation 0 30.327153 21.0117249
783 BE28 0.97992058 296 Extrapolation 0 30.616322 20.8786549
784 BE28 0.98094818 310 Extrapolation 0 30.890692 20.7524559
785 BE28 0.98192319 324 Extrapolation 0 31.151020 20.6397424
786 BE28 0.98284831 338 Extrapolation 0 31.398026 20.5270435
787 BE28 0.98372608 352 Extrapolation 0 31.632391 20.4141964
788 BE28 0.98455893 366 Extrapolation 0 31.854761 20.3024396
789 BE28 0.98534915 380 Extrapolation 0 32.065752 20.1925774
790 BE28 0.98609894 394 Extrapolation 0 32.265944 20.0843537
791 BE28 0.98681035 408 Extrapolation 0 32.455891 19.9781605
792 BE28 0.98748536 422 Extrapolation 0 32.636118 19.8744419
793 BE28 0.98812582 436 Extrapolation 0 32.807121 19.7735253
794 BE28 0.98873350 450 Extrapolation 0 32.969372 19.6751831
795 BE28 0.98931008 464 Extrapolation 0 33.123321 19.5810149
796 BE28 0.98985716 478 Extrapolation 0 33.269390 19.4897230
797 BE28 0.99037624 492 Extrapolation 0 33.407984 19.4018202
798 BE28 0.99086875 506 Extrapolation 0 33.539485 19.3173151
799 BE28 0.99133606 520 Extrapolation 0 33.664257 19.2361853
800 BE28 0.99177946 534 Extrapolation 0 33.782643 19.1583869
801 BE29 0.10471721 1 Rarefaction 0 1.000000 0.9071795
802 BE29 0.63849125 14 Rarefaction 0 8.453725 7.4308886
803 BE29 0.78373281 27 Rarefaction 0 12.155710 10.8690761
804 BE29 0.86120259 41 Rarefaction 0 14.623939 13.1442690
805 BE29 0.90181055 54 Rarefaction 0 16.162183 14.5632050
806 BE29 0.92664943 67 Rarefaction 0 17.277252 15.5867474
807 BE29 0.94368648 81 Rarefaction 0 18.184816 16.4118938
808 BE29 0.95436775 94 Rarefaction 0 18.848822 17.0060794
809 BE29 0.96261576 108 Rarefaction 0 19.431023 17.4958628
810 BE29 0.96837592 121 Rarefaction 0 19.880895 17.8326724
811 BE29 0.97292530 134 Rarefaction 0 20.263634 18.0773928
812 BE29 0.97688041 148 Rarefaction 0 20.616016 18.2399862
813 BE29 0.97991798 161 Rarefaction 0 20.897785 18.2821198
814 BE29 0.98268381 175 Rarefaction 0 21.160430 18.2787454
815 BE29 0.98489608 188 Rarefaction 0 21.371946 18.2049365
816 BE29 0.98684432 201 Rarefaction 0 21.556356 18.1029286
817 BE29 0.98870945 215 Rarefaction 0 21.728161 17.9724211
818 BE29 0.99026362 228 Rarefaction 0 21.865444 17.8343440
819 BE29 0.99176955 242 Rarefaction 0 21.988576 17.6759654
820 BE29 0.99187033 243 Observed 0 22.000000 17.6686047
821 BE29 0.99196988 244 Extrapolation 0 22.008130 17.6573342
822 BE29 0.99307350 256 Extrapolation 0 22.098259 17.5283454
823 BE29 0.99409861 269 Extrapolation 0 22.181976 17.4020350
824 BE29 0.99497200 282 Extrapolation 0 22.253303 17.2900134
825 BE29 0.99566303 294 Extrapolation 0 22.309737 17.1991023
826 BE29 0.99630489 307 Extrapolation 0 22.362156 17.1135837
827 BE29 0.99685176 320 Extrapolation 0 22.406817 17.0391975
828 BE29 0.99731769 333 Extrapolation 0 22.444868 16.9746654
829 BE29 0.99768634 345 Extrapolation 0 22.474974 16.9228635
830 BE29 0.99802876 358 Extrapolation 0 22.502938 16.8741621
831 BE29 0.99832050 371 Extrapolation 0 22.526764 16.8322223
832 BE29 0.99856906 384 Extrapolation 0 22.547063 16.7961644
833 BE29 0.99876572 396 Extrapolation 0 22.563124 16.7674224
834 BE29 0.99894839 409 Extrapolation 0 22.578042 16.7405554
835 BE29 0.99910403 422 Extrapolation 0 22.590752 16.7175316
836 BE29 0.99923663 435 Extrapolation 0 22.601581 16.6978204
837 BE29 0.99934154 447 Extrapolation 0 22.610149 16.6821601
838 BE29 0.99943899 460 Extrapolation 0 22.618108 16.6675633
839 BE29 0.99952202 473 Extrapolation 0 22.624888 16.6550871
840 BE29 0.99959276 486 Extrapolation 0 22.630665 16.6444291
841 BE3 0.04497226 1 Rarefaction 0 1.000000 0.9459555
842 BE3 0.48867636 17 Rarefaction 0 12.399452 10.5988569
843 BE3 0.67624361 33 Rarefaction 0 18.989246 16.5166665
844 BE3 0.77350764 49 Rarefaction 0 23.367749 20.5403203
845 BE3 0.83240496 65 Rarefaction 0 26.515116 23.4400119
846 BE3 0.87322655 82 Rarefaction 0 29.013963 25.7173818
847 BE3 0.89936903 98 Rarefaction 0 30.833873 27.3370453
848 BE3 0.91784320 114 Rarefaction 0 32.297182 28.5983232
849 BE3 0.93118731 130 Rarefaction 0 33.506063 29.6065117
850 BE3 0.94158892 147 Rarefaction 0 34.588195 30.4814551
851 BE3 0.94897040 163 Rarefaction 0 35.464881 31.1645891
852 BE3 0.95475163 179 Rarefaction 0 36.236231 31.7295621
853 BE3 0.95940849 195 Rarefaction 0 36.924029 32.1650985
854 BE3 0.96325862 211 Rarefaction 0 37.543707 32.4013776
855 BE3 0.96670337 228 Rarefaction 0 38.139947 32.3627538
856 BE3 0.96948973 244 Rarefaction 0 38.651286 32.1253641
857 BE3 0.97193655 260 Rarefaction 0 39.120701 31.8095798
858 BE3 0.97411467 276 Rarefaction 0 39.553061 31.5058289
859 BE3 0.97619048 292 Rarefaction 0 39.958056 31.1948469
860 BE3 0.97630600 294 Observed 0 40.000000 31.1983763
861 BE3 0.97642096 295 Extrapolation 0 40.023694 31.1825486
862 BE3 0.97807997 310 Extrapolation 0 40.365616 30.9438687
863 BE3 0.97962226 325 Extrapolation 0 40.683480 30.6994339
864 BE3 0.98114794 341 Extrapolation 0 40.997924 30.4477967
865 BE3 0.98247436 356 Extrapolation 0 41.271299 30.2160268
866 BE3 0.98378651 372 Extrapolation 0 41.541733 29.9818847
867 BE3 0.98492728 387 Extrapolation 0 41.776846 29.7719342
868 BE3 0.98598779 402 Extrapolation 0 41.995417 29.5741874
869 BE3 0.98703689 418 Extrapolation 0 42.211636 29.3875791
870 BE3 0.98794897 433 Extrapolation 0 42.399615 29.2221205
871 BE3 0.98885123 449 Extrapolation 0 42.585572 29.0530593
872 BE3 0.98963565 464 Extrapolation 0 42.747241 28.9020376
873 BE3 0.99041163 480 Extrapolation 0 42.907170 28.7491538
874 BE3 0.99108626 495 Extrapolation 0 43.046212 28.6135426
875 BE3 0.99171343 510 Extrapolation 0 43.175471 28.4853473
876 BE3 0.99233385 526 Extrapolation 0 43.303339 28.3566166
877 BE3 0.99287323 541 Extrapolation 0 43.414507 28.2432206
878 BE3 0.99340682 557 Extrapolation 0 43.524478 28.1297539
879 BE3 0.99387071 572 Extrapolation 0 43.620086 28.0301245
880 BE3 0.99432961 588 Extrapolation 0 43.714666 27.9307073
881 BE30 0.13675934 1 Rarefaction 0 1.000017 0.8840622
882 BE30 0.69084723 15 Rarefaction 0 8.070299 6.7835703
883 BE30 0.81206004 30 Rarefaction 0 11.723176 10.0310892
884 BE30 0.86776595 45 Rarefaction 0 14.106033 11.9641925
885 BE30 0.89591355 59 Rarefaction 0 15.756408 13.0848020
886 BE30 0.91348925 74 Rarefaction 0 17.183197 13.8400144
887 BE30 0.92418871 89 Rarefaction 0 18.399835 14.2930222
888 BE30 0.93076970 103 Rarefaction 0 19.415609 14.5608041
889 BE30 0.93575362 118 Rarefaction 0 20.417180 14.8044089
890 BE30 0.93949814 133 Rarefaction 0 21.353510 15.0471320
891 BE30 0.94233593 147 Rarefaction 0 22.181531 15.2426113
892 BE30 0.94495353 162 Rarefaction 0 23.027748 15.2344429
893 BE30 0.94729956 177 Rarefaction 0 23.836757 15.1086227
894 BE30 0.94932979 191 Rarefaction 0 24.561220 14.9477444
895 BE30 0.95138528 206 Rarefaction 0 25.306752 14.6760386
896 BE30 0.95334522 221 Rarefaction 0 26.022146 14.2709835
897 BE30 0.95510129 235 Rarefaction 0 26.663822 13.8493076
898 BE30 0.95691039 250 Rarefaction 0 27.324547 13.3751754
899 BE30 0.95864662 264 Rarefaction 0 27.935277 12.8729352
900 BE30 0.95875980 266 Observed 0 28.000000 12.8640665
901 BE30 0.95887267 267 Extrapolation 0 28.041240 12.8321660
902 BE30 0.96031218 280 Extrapolation 0 28.567203 12.4193699
903 BE30 0.96180613 294 Extrapolation 0 29.113055 11.9817196
904 BE30 0.96324385 308 Extrapolation 0 29.638360 11.5545123
905 BE30 0.96462744 322 Extrapolation 0 30.143891 11.1378442
906 BE30 0.96595896 336 Extrapolation 0 30.630393 10.7350491
907 BE30 0.96724035 350 Extrapolation 0 31.098582 10.3466878
908 BE30 0.96847351 364 Extrapolation 0 31.549146 9.9691102
909 BE30 0.96966024 378 Extrapolation 0 31.982751 9.6025706
910 BE30 0.97080231 392 Extrapolation 0 32.400033 9.2463043
911 BE30 0.97190138 406 Extrapolation 0 32.801608 8.9004657
912 BE30 0.97295909 420 Extrapolation 0 33.188066 8.5653510
913 BE30 0.97397698 434 Extrapolation 0 33.559977 8.2410330
914 BE30 0.97495655 448 Extrapolation 0 33.917889 7.9262168
915 BE30 0.97589925 462 Extrapolation 0 34.262327 7.6200371
916 BE30 0.97680646 476 Extrapolation 0 34.593801 7.3221108
917 BE30 0.97767953 490 Extrapolation 0 34.912796 7.0323128
918 BE30 0.97851973 504 Extrapolation 0 35.219784 6.7511572
919 BE30 0.97932830 518 Extrapolation 0 35.515216 6.4787254
920 BE30 0.98010643 532 Extrapolation 0 35.799528 6.2148843
921 BE4 0.06215005 1 Rarefaction 0 1.000000 0.9628399
922 BE4 0.67668576 23 Rarefaction 0 13.387599 12.0848474
923 BE4 0.83245343 46 Rarefaction 0 18.785703 17.0817857
924 BE4 0.89425700 69 Rarefaction 0 21.872317 19.9444788
925 BE4 0.92632697 92 Rarefaction 0 23.916708 21.7680554
926 BE4 0.94533766 115 Rarefaction 0 25.384883 22.9200466
927 BE4 0.95755552 138 Rarefaction 0 26.498154 23.5371925
928 BE4 0.96584106 161 Rarefaction 0 27.377437 23.4920278
929 BE4 0.97167392 184 Rarefaction 0 28.095194 23.0048732
930 BE4 0.97589497 207 Rarefaction 0 28.697752 22.5975975
931 BE4 0.97901707 230 Rarefaction 0 29.216085 22.2571468
932 BE4 0.98136906 253 Rarefaction 0 29.671586 21.9474905
933 BE4 0.98316847 276 Rarefaction 0 30.079406 21.7008114
934 BE4 0.98456145 299 Rarefaction 0 30.450540 21.5467743
935 BE4 0.98564665 322 Rarefaction 0 30.793173 21.4763187
936 BE4 0.98649055 345 Rarefaction 0 31.113604 21.4690506
937 BE4 0.98713778 368 Rarefaction 0 31.416859 21.5181214
938 BE4 0.98761825 391 Rarefaction 0 31.707107 21.6208986
939 BE4 0.98795181 413 Rarefaction 0 31.977116 21.7682527
940 BE4 0.98796344 415 Observed 0 32.000000 21.7859611
941 BE4 0.98797506 416 Extrapolation 0 32.012037 21.7939623
942 BE4 0.98821647 437 Extrapolation 0 32.262138 21.9520206
943 BE4 0.98846418 459 Extrapolation 0 32.518765 22.1123396
944 BE4 0.98870668 481 Extrapolation 0 32.769997 22.2688387
945 BE4 0.98894408 503 Extrapolation 0 33.015949 22.4217605
946 BE4 0.98916604 524 Extrapolation 0 33.245895 22.5646242
947 BE4 0.98939379 546 Extrapolation 0 33.481842 22.7112958
948 BE4 0.98961675 568 Extrapolation 0 33.712829 22.8552041
949 BE4 0.98983502 590 Extrapolation 0 33.938960 22.9967248
950 BE4 0.99004871 612 Extrapolation 0 34.160338 23.1363717
951 BE4 0.99024849 633 Extrapolation 0 34.367310 23.2686664
952 BE4 0.99045348 655 Extrapolation 0 34.579683 23.4070558
953 BE4 0.99065416 677 Extrapolation 0 34.787592 23.5423320
954 BE4 0.99085063 699 Extrapolation 0 34.991130 23.6739362
955 BE4 0.99104296 721 Extrapolation 0 35.190389 23.8019944
956 BE4 0.99122278 742 Extrapolation 0 35.376682 23.9210352
957 BE4 0.99140729 764 Extrapolation 0 35.567836 24.0425053
958 BE4 0.99158793 786 Extrapolation 0 35.754972 24.1607707
959 BE4 0.99176476 808 Extrapolation 0 35.938174 24.2759362
960 BE4 0.99193788 830 Extrapolation 0 36.117525 24.3881020
961 BE5 0.35176229 1 Rarefaction 0 1.000010 0.8363866
962 BE5 0.70561256 11 Rarefaction 0 4.931668 3.3304145
963 BE5 0.78940782 22 Rarefaction 0 7.721932 6.1185186
964 BE5 0.84680118 33 Rarefaction 0 9.731950 8.0581771
965 BE5 0.88639406 44 Rarefaction 0 11.206001 9.4291972
966 BE5 0.91396158 55 Rarefaction 0 12.308908 10.4119258
967 BE5 0.93336106 66 Rarefaction 0 13.152247 11.1247058
968 BE5 0.94715820 77 Rarefaction 0 13.812090 11.6455623
969 BE5 0.95706396 88 Rarefaction 0 14.340881 12.0210245
970 BE5 0.96423172 99 Rarefaction 0 14.775257 12.2667919
971 BE5 0.96945379 110 Rarefaction 0 15.141114 12.3253888
972 BE5 0.97328841 121 Rarefaction 0 15.456892 12.0910074
973 BE5 0.97613936 132 Rarefaction 0 15.735721 11.8015165
974 BE5 0.97830520 143 Rarefaction 0 15.986848 11.5681317
975 BE5 0.98000924 154 Rarefaction 0 16.216635 11.4017646
976 BE5 0.98141829 165 Rarefaction 0 16.429282 11.2695220
977 BE5 0.98265471 176 Rarefaction 0 16.627386 11.1630925
978 BE5 0.98380479 187 Rarefaction 0 16.812386 11.0657057
979 BE5 0.98492462 197 Rarefaction 0 16.974141 10.9684638
980 BE5 0.98502546 199 Observed 0 17.000000 10.9697580
981 BE5 0.98512563 200 Extrapolation 0 17.014975 10.9601230
982 BE5 0.98609115 210 Extrapolation 0 17.159320 10.8624012
983 BE5 0.98699399 220 Extrapolation 0 17.294296 10.7682573
984 BE5 0.98791959 231 Extrapolation 0 17.432672 10.6697049
985 BE5 0.98870375 241 Extrapolation 0 17.549904 10.5854218
986 BE5 0.98950766 252 Extrapolation 0 17.670089 10.4999322
987 BE5 0.99018874 262 Extrapolation 0 17.771910 10.4317776
988 BE5 0.99082560 272 Extrapolation 0 17.867121 10.3626882
989 BE5 0.99147851 283 Extrapolation 0 17.964731 10.2901169
990 BE5 0.99203166 293 Extrapolation 0 18.047426 10.2273959
991 BE5 0.99259874 304 Extrapolation 0 18.132205 10.1619525
992 BE5 0.99307917 314 Extrapolation 0 18.204029 10.1056389
993 BE5 0.99357170 325 Extrapolation 0 18.277662 10.0471243
994 BE5 0.99398897 335 Extrapolation 0 18.340044 9.9969903
995 BE5 0.99437916 345 Extrapolation 0 18.398377 9.9497512
996 BE5 0.99477917 356 Extrapolation 0 18.458180 9.9012584
997 BE5 0.99511806 366 Extrapolation 0 18.508844 9.8597341
998 BE5 0.99546549 377 Extrapolation 0 18.560785 9.8161269
999 BE5 0.99575984 387 Extrapolation 0 18.604789 9.7783337
1000 BE5 0.99606159 398 Extrapolation 0 18.649902 9.7393528
1001 BE6 0.16285967 1 Rarefaction 0 1.000012 0.8158267
1002 BE6 0.62516067 12 Rarefaction 0 6.975708 5.3492977
1003 BE6 0.74446801 23 Rarefaction 0 10.431181 8.2603062
1004 BE6 0.81486411 35 Rarefaction 0 13.070097 10.3472189
1005 BE6 0.85340244 46 Rarefaction 0 14.898257 11.6643244
1006 BE6 0.88068502 58 Rarefaction 0 16.496120 12.7368704
1007 BE6 0.89790083 69 Rarefaction 0 17.717361 13.5288852
1008 BE6 0.91153340 81 Rarefaction 0 18.863366 14.2772750
1009 BE6 0.92098748 92 Rarefaction 0 19.787110 14.8912527
1010 BE6 0.92910660 104 Rarefaction 0 20.688741 15.4886733
1011 BE6 0.93515474 115 Rarefaction 0 21.437317 15.9619303
1012 BE6 0.94024272 126 Rarefaction 0 22.124425 16.3439676
1013 BE6 0.94496635 138 Rarefaction 0 22.814778 16.6064664
1014 BE6 0.94869527 149 Rarefaction 0 23.401035 16.7519680
1015 BE6 0.95221972 161 Rarefaction 0 23.996785 16.8647853
1016 BE6 0.95501692 172 Rarefaction 0 24.508026 16.9125244
1017 BE6 0.95764300 184 Rarefaction 0 25.032957 16.9471140
1018 BE6 0.95968731 195 Rarefaction 0 25.488356 16.9859520
1019 BE6 0.96153846 207 Rarefaction 0 25.960598 17.0584932
1020 BE6 0.96167731 208 Observed 0 26.000000 17.0673021
1021 BE6 0.96181566 209 Extrapolation 0 26.038323 17.0766210
1022 BE6 0.96317198 219 Extrapolation 0 26.414022 17.1475300
1023 BE6 0.96460835 230 Extrapolation 0 26.811897 17.2139711
1024 BE6 0.96598870 241 Extrapolation 0 27.194253 17.2721055
1025 BE6 0.96731521 252 Extrapolation 0 27.561697 17.3235993
1026 BE6 0.96858998 263 Extrapolation 0 27.914810 17.3660606
1027 BE6 0.96981504 274 Extrapolation 0 28.254150 17.4014201
1028 BE6 0.97099232 285 Extrapolation 0 28.580256 17.4309922
1029 BE6 0.97212368 296 Extrapolation 0 28.893643 17.4558674
1030 BE6 0.97321091 307 Extrapolation 0 29.194807 17.4737119
1031 BE6 0.97416246 317 Extrapolation 0 29.458387 17.4850903
1032 BE6 0.97517018 328 Extrapolation 0 29.737525 17.4931506
1033 BE6 0.97613860 339 Extrapolation 0 30.005776 17.4888541
1034 BE6 0.97706924 350 Extrapolation 0 30.263565 17.4982917
1035 BE6 0.97796359 361 Extrapolation 0 30.511299 17.4963956
1036 BE6 0.97882306 372 Extrapolation 0 30.749371 17.4921435
1037 BE6 0.97964900 383 Extrapolation 0 30.978158 17.4859371
1038 BE6 0.98044273 394 Extrapolation 0 31.198021 17.4781109
1039 BE6 0.98120551 405 Extrapolation 0 31.409310 17.4689818
1040 BE6 0.98193853 416 Extrapolation 0 31.612358 17.4588372
1041 BE7 0.28952439 1 Rarefaction 0 1.000012 0.8875846
1042 BE7 0.83973677 30 Rarefaction 0 9.448939 8.0815532
1043 BE7 0.90966916 60 Rarefaction 0 13.036943 10.8797323
1044 BE7 0.93536280 90 Rarefaction 0 15.324703 12.4815021
1045 BE7 0.94870255 120 Rarefaction 0 17.052653 13.6432180
1046 BE7 0.95704294 150 Rarefaction 0 18.462130 14.5885628
1047 BE7 0.96277406 180 Rarefaction 0 19.662845 15.4041740
1048 BE7 0.96693917 210 Rarefaction 0 20.716161 16.1298613
1049 BE7 0.97010412 240 Rarefaction 0 21.660100 16.7840846
1050 BE7 0.97261278 270 Rarefaction 0 22.519277 17.3746604
1051 BE7 0.97461947 299 Rarefaction 0 23.284602 17.8856567
1052 BE7 0.97639921 329 Rarefaction 0 24.019588 18.3412146
1053 BE7 0.97796738 359 Rarefaction 0 24.704430 18.5981285
1054 BE7 0.97938288 389 Rarefaction 0 25.344558 18.4878385
1055 BE7 0.98068457 419 Rarefaction 0 25.943951 18.2834541
1056 BE7 0.98189892 449 Rarefaction 0 26.505614 18.0066089
1057 BE7 0.98304485 479 Rarefaction 0 27.031879 17.6973827
1058 BE7 0.98413657 509 Rarefaction 0 27.524583 17.3734769
1059 BE7 0.98518519 539 Rarefaction 0 27.984049 17.0345349
1060 BE7 0.98521946 540 Observed 0 28.000000 17.0241931
1061 BE7 0.98525366 541 Extrapolation 0 28.014781 17.0127579
1062 BE7 0.98617975 569 Extrapolation 0 28.415036 16.6917297
1063 BE7 0.98704768 597 Extrapolation 0 28.790155 16.3735519
1064 BE7 0.98788919 626 Extrapolation 0 29.153854 16.0539640
1065 BE7 0.98864976 654 Extrapolation 0 29.482575 15.7583054
1066 BE7 0.98936257 682 Extrapolation 0 29.790651 15.4810661
1067 BE7 0.99005368 711 Extrapolation 0 30.089348 15.2046092
1068 BE7 0.99067832 739 Extrapolation 0 30.359318 14.9543230
1069 BE7 0.99126373 767 Extrapolation 0 30.612334 14.7232217
1070 BE7 0.99183133 796 Extrapolation 0 30.857647 14.4897477
1071 BE7 0.99234433 824 Extrapolation 0 31.079367 14.2713210
1072 BE7 0.99284172 853 Extrapolation 0 31.294337 14.0534038
1073 BE7 0.99329126 881 Extrapolation 0 31.488633 13.8515190
1074 BE7 0.99371258 909 Extrapolation 0 31.670726 13.6583371
1075 BE7 0.99412107 938 Extrapolation 0 31.847276 13.4676015
1076 BE7 0.99449028 966 Extrapolation 0 32.006846 13.2924826
1077 BE7 0.99483629 994 Extrapolation 0 32.156394 13.1261332
1078 BE7 0.99517178 1023 Extrapolation 0 32.301391 12.9628852
1079 BE7 0.99547500 1051 Extrapolation 0 32.432442 12.8137525
1080 BE7 0.99576898 1080 Extrapolation 0 32.559503 12.6677843
1081 BE8 0.13857829 1 Rarefaction 0 1.000001 0.7973880
1082 BE8 0.60221071 13 Rarefaction 0 7.833930 6.3502875
1083 BE8 0.73498327 25 Rarefaction 0 11.798526 10.0845038
1084 BE8 0.81267269 37 Rarefaction 0 14.514180 12.6568109
1085 BE8 0.86197643 49 Rarefaction 0 16.470223 14.5065150
1086 BE8 0.89495371 61 Rarefaction 0 17.932719 15.8597980
1087 BE8 0.91789047 73 Rarefaction 0 19.059252 16.8591289
1088 BE8 0.93433021 85 Rarefaction 0 19.948933 17.6078906
1089 BE8 0.94640008 97 Rarefaction 0 20.667020 18.1823719
1090 BE8 0.95544358 109 Rarefaction 0 21.257979 18.6332350
1091 BE8 0.96234670 121 Rarefaction 0 21.752903 18.9908802
1092 BE8 0.96771483 133 Rarefaction 0 22.173932 19.2720169
1093 BE8 0.97197212 145 Rarefaction 0 22.537003 19.4754854
1094 BE8 0.97541998 157 Rarefaction 0 22.853691 19.5940188
1095 BE8 0.97827310 169 Rarefaction 0 23.132453 19.6680629
1096 BE8 0.98068353 181 Rarefaction 0 23.379539 19.7036511
1097 BE8 0.98275793 193 Rarefaction 0 23.599635 19.7441644
1098 BE8 0.98457089 205 Rarefaction 0 23.796339 19.7041855
1099 BE8 0.98630137 218 Rarefaction 0 23.982210 19.6276483
1100 BE8 0.98642590 219 Observed 0 24.000000 19.6263661
1101 BE8 0.98654930 220 Extrapolation 0 24.013574 19.6209963
1102 BE8 0.98783487 231 Extrapolation 0 24.154987 19.5459812
1103 BE8 0.98899757 242 Extrapolation 0 24.282883 19.4620908
1104 BE8 0.99013960 254 Extrapolation 0 24.408507 19.3664594
1105 BE8 0.99108202 265 Extrapolation 0 24.512173 19.2784512
1106 BE8 0.99200769 277 Extrapolation 0 24.613997 19.1855740
1107 BE8 0.99277157 288 Extrapolation 0 24.698023 19.1041947
1108 BE8 0.99352187 300 Extrapolation 0 24.780556 19.0205614
1109 BE8 0.99414102 311 Extrapolation 0 24.848663 18.9490077
1110 BE8 0.99474918 323 Extrapolation 0 24.915560 18.8767033
1111 BE8 0.99525103 334 Extrapolation 0 24.970764 18.8157479
1112 BE8 0.99574397 346 Extrapolation 0 25.024987 18.7550481
1113 BE8 0.99615074 357 Extrapolation 0 25.069732 18.7041764
1114 BE8 0.99655029 369 Extrapolation 0 25.113682 18.6535212
1115 BE8 0.99688000 380 Extrapolation 0 25.149951 18.6112286
1116 BE8 0.99720385 392 Extrapolation 0 25.185574 18.5692683
1117 BE8 0.99747110 403 Extrapolation 0 25.214971 18.5343397
1118 BE8 0.99773359 415 Extrapolation 0 25.243846 18.4997731
1119 BE8 0.99795021 426 Extrapolation 0 25.267673 18.4710606
1120 BE8 0.99816297 438 Extrapolation 0 25.291078 18.4426946
1121 BE9 0.06994467 1 Rarefaction 0 1.000000 0.9252717
1122 BE9 0.61280390 18 Rarefaction 0 11.347823 10.0133367
1123 BE9 0.77559174 35 Rarefaction 0 16.420867 14.5657978
1124 BE9 0.84858099 52 Rarefaction 0 19.580956 17.2656215
1125 BE9 0.88763739 69 Rarefaction 0 21.812286 19.0682354
1126 BE9 0.91132824 86 Rarefaction 0 23.518079 20.3530273
1127 BE9 0.92712485 103 Rarefaction 0 24.890987 21.2855430
1128 BE9 0.93838890 120 Rarefaction 0 26.034800 21.9699863
1129 BE9 0.94677883 137 Rarefaction 0 27.011773 22.4814308
1130 BE9 0.95352031 155 Rarefaction 0 27.909686 22.8794233
1131 BE9 0.95842169 172 Rarefaction 0 28.658911 23.1343744
1132 BE9 0.96225640 189 Rarefaction 0 29.333756 23.2715086
1133 BE9 0.96527460 206 Rarefaction 0 29.950244 23.2207613
1134 BE9 0.96766469 223 Rarefaction 0 30.520681 23.0809615
1135 BE9 0.96957087 240 Rarefaction 0 31.054533 22.8932775
1136 BE9 0.97110286 257 Rarefaction 0 31.559108 22.7531291
1137 BE9 0.97234201 274 Rarefaction 0 32.040079 22.6835034
1138 BE9 0.97334585 291 Rarefaction 0 32.501934 22.6915704
1139 BE9 0.97419355 309 Rarefaction 0 32.970210 22.7743566
1140 BE9 0.97423524 310 Observed 0 33.000000 22.7848979
1141 BE9 0.97427686 311 Extrapolation 0 33.025765 22.7922717
1142 BE9 0.97493376 327 Extrapolation 0 33.432386 22.8961451
1143 BE9 0.97557389 343 Extrapolation 0 33.828623 22.9929653
1144 BE9 0.97619766 359 Extrapolation 0 34.214741 23.0841948
1145 BE9 0.97684298 376 Extrapolation 0 34.614193 23.1764846
1146 BE9 0.97743435 392 Extrapolation 0 34.980249 23.2580297
1147 BE9 0.97801062 408 Extrapolation 0 35.336958 23.3419722
1148 BE9 0.97857217 424 Extrapolation 0 35.684557 23.4223764
1149 BE9 0.97915311 441 Extrapolation 0 36.044160 23.5080817
1150 BE9 0.97968548 457 Extrapolation 0 36.373700 23.5910164
1151 BE9 0.98020426 473 Extrapolation 0 36.694823 23.6788178
1152 BE9 0.98070979 489 Extrapolation 0 37.007746 23.7734102
1153 BE9 0.98123278 506 Extrapolation 0 37.331476 23.8794453
1154 BE9 0.98171204 522 Extrapolation 0 37.628140 23.9740853
1155 BE9 0.98217907 538 Extrapolation 0 37.917229 24.0664021
1156 BE9 0.98263416 554 Extrapolation 0 38.198935 24.1575900
1157 BE9 0.98310498 571 Extrapolation 0 38.490369 24.2546820
1158 BE9 0.98353643 587 Extrapolation 0 38.757439 24.3474698
1159 BE9 0.98395687 603 Extrapolation 0 39.017688 24.4419109
1160 BE9 0.98439182 620 Extrapolation 0 39.286925 24.5422635
qD.UCL
1 1.114067
2 6.111991
3 8.489257
4 10.010710
5 11.255091
6 12.261409
7 13.063061
8 13.812384
9 14.434888
10 15.076708
11 15.736395
12 16.341850
13 16.981219
14 17.578572
15 18.204202
16 18.818869
17 19.377158
18 19.957640
19 20.510288
20 20.558336
21 20.597173
22 21.060573
23 21.523107
24 21.945535
25 22.292722
26 22.670132
27 23.024076
28 23.355112
29 23.663725
30 23.949921
31 24.197799
32 24.447212
33 24.679441
34 24.895497
35 25.096374
36 25.283027
37 25.456376
38 25.617301
39 25.766580
40 25.904855
41 1.104233
42 13.338078
43 18.775548
44 22.265920
45 24.595452
46 26.352547
47 27.815075
48 28.996596
49 30.083570
50 31.033067
51 31.943412
52 33.223551
53 34.631481
54 36.079911
55 37.332606
56 38.409646
57 39.373833
58 40.181895
59 40.920385
60 40.960902
61 40.991633
62 41.652419
63 42.290565
64 42.905499
65 43.495184
66 44.072295
67 44.601459
68 45.129226
69 45.641312
70 46.137851
71 46.640532
72 47.105860
73 47.556318
74 47.992444
75 48.414585
76 48.841312
77 49.235859
78 49.617417
79 49.986307
80 50.358759
81 1.138180
82 8.665435
83 12.519262
84 14.798127
85 16.586277
86 17.812688
87 18.827465
88 19.530649
89 20.119192
90 20.565786
91 21.015387
92 21.503853
93 22.338251
94 23.133158
95 23.919208
96 24.553410
97 25.156909
98 25.652688
99 26.153465
100 26.194066
101 26.233226
102 26.602324
103 26.955652
104 27.260061
105 27.521421
106 27.745073
107 27.936960
108 28.101500
109 28.242497
110 28.363259
111 28.466644
112 28.555125
113 28.630831
114 28.695590
115 28.750974
116 28.798333
117 28.838825
118 28.873441
119 28.903031
120 28.928322
121 1.022678
122 14.050074
123 20.614787
124 25.084396
125 28.268257
126 30.904476
127 33.314798
128 35.359329
129 37.345689
130 39.116722
131 40.814288
132 42.546563
133 44.135376
134 45.753244
135 47.218353
136 48.622246
137 50.032525
138 51.325232
139 52.646955
140 52.729023
141 52.800707
142 53.952566
143 55.064474
144 56.198626
145 57.229161
146 58.277893
147 59.227581
148 60.188387
149 61.058338
150 61.940142
151 62.736164
152 63.540655
153 64.264891
154 64.995056
155 65.651061
156 66.311033
157 66.902847
158 67.497505
159 68.030220
160 68.565039
161 1.075108
162 14.625055
163 22.081959
164 27.145762
165 30.851941
166 34.032835
167 36.705368
168 38.908811
169 40.968995
170 42.827273
171 44.448597
172 46.048429
173 47.618398
174 49.275876
175 51.123129
176 53.068821
177 54.930694
178 56.863374
179 58.736203
180 58.853471
181 58.946961
182 60.596469
183 62.266811
184 63.856906
185 65.287949
186 66.718538
187 68.066671
188 69.269122
189 70.482356
190 71.642825
191 72.694738
192 73.755957
193 74.768456
194 75.684103
195 76.606264
196 77.484654
197 78.277790
198 79.075756
199 79.834608
200 80.556149
201 1.024986
202 9.085891
203 15.675398
204 20.202484
205 24.322726
206 27.735808
207 30.335039
208 32.881381
209 34.877662
210 36.888321
211 38.710000
212 40.227960
213 42.065475
214 45.526574
215 49.727815
216 53.672190
217 56.848771
218 60.080319
219 62.974599
220 63.310209
221 63.617198
222 66.005777
223 68.280396
224 70.448052
225 72.512342
226 74.714652
227 76.569014
228 78.329688
229 80.000120
230 81.583896
231 83.267110
232 84.679856
233 86.016537
234 87.284528
235 88.486244
236 89.762946
237 90.834415
238 91.849394
239 92.810774
240 93.831689
241 1.089666
242 10.912351
243 15.241485
244 17.955395
245 19.804823
246 21.219731
247 22.260892
248 23.108992
249 23.819417
250 24.456928
251 24.986237
252 25.487542
253 26.065977
254 26.682931
255 27.377444
256 28.006730
257 28.618573
258 29.175624
259 29.711842
260 29.743449
261 29.771119
262 30.236448
263 30.662737
264 31.051400
265 31.422689
266 31.741071
267 32.030121
268 32.292121
269 32.541812
270 32.755272
271 32.948590
272 33.123745
273 33.290476
274 33.432828
275 33.561443
276 33.677617
277 33.788049
278 33.882237
279 33.967265
280 34.048050
281 1.046786
282 10.395894
283 16.315216
284 19.921022
285 22.779720
286 24.793805
287 26.551405
288 27.864990
289 29.044424
290 29.935428
291 30.733866
292 31.328302
293 31.847370
294 32.230304
295 32.658946
296 33.433859
297 34.459502
298 35.345667
299 36.186995
300 36.250798
301 36.309190
302 36.747510
303 37.018787
304 37.166015
305 37.245696
306 37.288758
307 37.312013
308 37.324568
309 37.331344
310 37.335001
311 37.336974
312 37.338039
313 37.338613
314 37.338923
315 37.339090
316 37.339180
317 37.339229
318 37.339255
319 37.339270
320 37.339277
321 1.076656
322 13.931367
323 20.831184
324 26.026385
325 29.933367
326 33.379909
327 36.241387
328 38.914854
329 41.204536
330 43.390096
331 45.313933
332 47.152646
333 49.244931
334 51.502492
335 53.867466
336 56.019191
337 58.087633
338 59.881337
339 61.565421
340 61.684056
341 61.762620
342 63.233898
343 64.647543
344 66.096726
345 67.472819
346 68.908353
347 70.257348
348 71.587001
349 72.963362
350 74.246117
351 75.569585
352 76.800243
353 78.066449
354 79.240879
355 80.387067
356 81.562774
357 82.650345
358 83.764342
359 84.793539
360 85.846517
361 1.097351
362 13.373801
363 19.845173
364 24.331378
365 27.658806
366 30.215725
367 32.228790
368 33.844699
369 35.166340
370 36.267742
371 37.199980
372 37.997297
373 38.702505
374 39.691277
375 40.972183
376 42.251315
377 43.384507
378 44.309316
379 45.045507
380 45.086570
381 45.115903
382 45.660275
383 46.171400
384 46.649433
385 47.095663
386 47.511676
387 47.899054
388 48.259401
389 48.594330
390 48.905420
391 49.209604
392 49.476399
393 49.723822
394 49.953202
395 50.165794
396 50.362776
397 50.545256
398 50.714269
399 50.870963
400 51.023411
401 1.049346
402 14.189505
403 19.032929
404 21.956277
405 24.107444
406 25.822131
407 27.249510
408 28.481603
409 29.589645
410 30.629354
411 31.618342
412 32.543711
413 33.411268
414 34.263682
415 35.218787
416 36.299168
417 37.392189
418 38.503514
419 39.634538
420 39.693445
421 39.741286
422 40.773553
423 41.731952
424 42.685459
425 43.565610
426 44.342351
427 45.090034
428 45.773791
429 46.396584
430 46.962556
431 47.454815
432 47.922156
433 48.344871
434 48.726844
435 49.071752
436 49.370137
437 49.652171
438 49.906534
439 50.135721
440 50.342279
441 1.169812
442 6.682732
443 9.609891
444 11.933625
445 13.917519
446 15.755484
447 17.920927
448 21.713305
449 26.054550
450 29.716224
451 32.754225
452 35.253908
453 37.532201
454 39.193291
455 40.554681
456 41.682114
457 42.619044
458 43.403396
459 44.119440
460 44.220822
461 44.291974
462 44.825516
463 45.428419
464 46.022682
465 46.608209
466 47.113277
467 47.682015
468 48.241428
469 48.790962
470 49.329133
471 49.783528
472 50.288888
473 50.806324
474 51.316447
475 51.819298
476 52.253354
477 52.742662
478 53.224777
479 53.699733
480 54.167542
481 1.068390
482 14.466416
483 20.997317
484 25.042048
485 27.772644
486 29.957821
487 31.684739
488 33.023254
489 34.190540
490 35.180966
491 36.009021
492 36.783603
493 37.474756
494 38.181769
495 38.872623
496 39.512288
497 40.051726
498 40.605850
499 41.108279
500 41.139573
501 41.159914
502 41.589527
503 42.037704
504 42.456225
505 42.887488
506 43.307871
507 43.696489
508 44.094279
509 44.479934
510 44.834614
511 45.195180
512 45.524996
513 45.857941
514 46.176829
515 46.469791
516 46.767616
517 47.054795
518 47.317945
519 47.584995
520 47.842088
521 1.095697
522 9.044592
523 13.232472
524 15.948198
525 17.884537
526 19.254412
527 20.431518
528 21.373718
529 22.143606
530 22.790281
531 23.311628
532 23.841939
533 24.665107
534 25.788640
535 26.812419
536 27.802096
537 28.633710
538 29.310111
539 29.834195
540 29.872025
541 29.905792
542 30.308405
543 30.686704
544 31.041416
545 31.373583
546 31.684274
547 31.974691
548 32.268532
549 32.521895
550 32.759109
551 32.981122
552 33.188839
553 33.383127
554 33.579403
555 33.748305
556 33.906158
557 34.053766
558 34.191575
559 34.320398
560 34.450424
561 1.112502
562 8.421268
563 11.915625
564 14.276095
565 16.073039
566 17.635494
567 18.834429
568 19.867755
569 20.785643
570 21.709940
571 22.646244
572 24.220063
573 25.661490
574 26.892900
575 27.959575
576 28.737839
577 29.333026
578 29.761440
579 30.046865
580 30.095517
581 30.130493
582 30.508081
583 30.909177
584 31.266092
585 31.643848
586 32.009639
587 32.334564
588 32.677811
589 33.009565
590 33.303166
591 33.613704
592 33.889358
593 34.180474
594 34.461807
595 34.711299
596 34.974513
597 35.228548
598 35.453455
599 35.690086
600 35.916985
601 1.128485
602 8.374282
603 11.824215
604 14.121983
605 15.795096
606 17.158515
607 18.185705
608 19.024862
609 19.716557
610 20.320728
611 20.795235
612 21.201457
613 21.580807
614 22.021380
615 22.515948
616 23.046510
617 23.562454
618 24.036160
619 24.481746
620 24.508991
621 24.531436
622 24.876695
623 25.181349
624 25.464085
625 25.695430
626 25.896593
627 26.080760
628 26.229804
629 26.358399
630 26.475637
631 26.570216
632 26.656311
633 26.725680
634 26.785325
635 26.839546
636 26.883182
637 26.920666
638 26.954713
639 26.982094
640 27.006954
641 1.115892
642 9.867950
643 14.414060
644 17.607145
645 20.051562
646 22.016635
647 23.645994
648 25.029368
649 26.229624
650 27.294531
651 28.262786
652 29.166620
653 30.026135
654 30.841252
655 31.617622
656 32.395504
657 33.257542
658 34.269810
659 35.516552
660 35.613595
661 35.707146
662 36.818994
663 37.886200
664 38.968663
665 39.894154
666 40.815291
667 41.592580
668 42.303363
669 43.004776
670 43.588783
671 44.162833
672 44.641801
673 45.110908
674 45.501014
675 45.854770
676 46.200407
677 46.488028
678 46.768888
679 47.002494
680 47.230518
681 1.131899
682 9.493124
683 13.741748
684 16.650737
685 18.809344
686 20.481368
687 21.824141
688 22.877780
689 23.835762
690 24.669294
691 25.408710
692 26.076374
693 26.689793
694 27.232097
695 27.792530
696 28.408646
697 29.098837
698 29.909885
699 30.756074
700 30.815943
701 30.866089
702 31.651101
703 32.387922
704 33.061761
705 33.687825
706 34.263366
707 34.790015
708 35.269891
709 35.705472
710 36.098408
711 36.453639
712 36.775299
713 37.066278
714 37.329299
715 37.566903
716 37.781440
717 37.975072
718 38.149776
719 38.307360
720 38.449467
721 1.078035
722 12.271991
723 18.108635
724 22.239000
725 25.483686
726 28.321391
727 30.611765
728 32.627735
729 34.438793
730 36.186500
731 37.711801
732 39.140368
733 40.493602
734 41.796782
735 43.135081
736 44.352023
737 45.527521
738 46.635165
739 47.682122
740 47.778379
741 47.842878
742 48.754288
743 49.626009
744 50.530372
745 51.361808
746 52.174787
747 53.015846
748 53.785466
749 54.536223
750 55.313991
751 56.022362
752 56.755265
753 57.430230
754 58.074333
755 58.743592
756 59.353816
757 59.945087
758 60.552612
759 61.105251
760 61.673826
761 1.050002
762 10.976381
763 16.468372
764 20.007938
765 22.409887
766 24.397050
767 25.984461
768 27.298499
769 28.346676
770 29.327846
771 30.206371
772 30.987733
773 32.000936
774 33.331666
775 34.622453
776 35.768197
777 36.899950
778 37.912992
779 38.775504
780 38.843631
781 38.897770
782 39.642582
783 40.353989
784 41.028928
785 41.662298
786 42.269008
787 42.850585
788 43.407083
789 43.938926
790 44.447535
791 44.933623
792 45.397794
793 45.840717
794 46.263562
795 46.665626
796 47.049057
797 47.414148
798 47.761656
799 48.092328
800 48.406899
801 1.092820
802 9.476561
803 13.442345
804 16.103610
805 17.761161
806 18.967756
807 19.957738
808 20.691565
809 21.366184
810 21.929117
811 22.449876
812 22.992046
813 23.513450
814 24.042115
815 24.538955
816 25.009783
817 25.483900
818 25.896543
819 26.301186
820 26.331395
821 26.358925
822 26.668173
823 26.961918
824 27.216593
825 27.420372
826 27.610729
827 27.774437
828 27.915071
829 28.027085
830 28.131714
831 28.221305
832 28.297962
833 28.358825
834 28.415528
835 28.463973
836 28.505342
837 28.538139
838 28.568652
839 28.594690
840 28.616902
841 1.054045
842 14.200047
843 21.461825
844 26.195177
845 29.590219
846 32.310544
847 34.330701
848 35.996040
849 37.405614
850 38.694935
851 39.765173
852 40.742900
853 41.682959
854 42.686037
855 43.917139
856 45.177208
857 46.431823
858 47.600293
859 48.721264
860 48.801624
861 48.864839
862 49.787363
863 50.667527
864 51.548051
865 52.326572
866 53.101581
867 53.781758
868 54.416647
869 55.035693
870 55.577110
871 56.118084
872 56.592444
873 57.065187
874 57.478882
875 57.865595
876 58.250062
877 58.585793
878 58.919202
879 59.210048
880 59.498625
881 1.115972
882 9.357029
883 13.415263
884 16.247874
885 18.428014
886 20.526380
887 22.506647
888 24.270414
889 26.029951
890 27.659889
891 29.120450
892 30.821052
893 32.564891
894 34.174695
895 35.937465
896 37.773308
897 39.478336
898 41.273919
899 42.997618
900 43.135934
901 43.250314
902 44.715036
903 46.244391
904 47.722208
905 49.149939
906 50.525737
907 51.850475
908 53.129182
909 54.362930
910 55.553761
911 56.702749
912 57.810781
913 58.878921
914 59.909560
915 60.904618
916 61.865491
917 62.793280
918 63.688411
919 64.551707
920 65.384171
921 1.037160
922 14.690351
923 20.489621
924 23.800156
925 26.065360
926 27.849720
927 29.459116
928 31.262846
929 33.185515
930 34.797907
931 36.175024
932 37.395681
933 38.458001
934 39.354305
935 40.110027
936 40.758157
937 41.315596
938 41.793316
939 42.185978
940 42.214039
941 42.230111
942 42.572255
943 42.925190
944 43.271156
945 43.610137
946 43.927166
947 44.252389
948 44.570454
949 44.881196
950 45.184304
951 45.465954
952 45.752311
953 46.032851
954 46.308323
955 46.578783
956 46.832329
957 47.093167
958 47.349174
959 47.600412
960 47.846948
961 1.163633
962 6.532921
963 9.325346
964 11.405723
965 12.982804
966 14.205890
967 15.179789
968 15.978618
969 16.660738
970 17.283723
971 17.956838
972 18.822777
973 19.669926
974 20.405565
975 21.031506
976 21.589043
977 22.091680
978 22.559067
979 22.979818
980 23.030242
981 23.069826
982 23.456239
983 23.820334
984 24.195639
985 24.514386
986 24.840246
987 25.112042
988 25.371554
989 25.639346
990 25.867457
991 26.102457
992 26.302419
993 26.508200
994 26.683099
995 26.847003
996 27.015101
997 27.157954
998 27.305443
999 27.431245
1000 27.560451
1001 1.184198
1002 8.602118
1003 12.602055
1004 15.792975
1005 18.132190
1006 20.255369
1007 21.905836
1008 23.449458
1009 24.682968
1010 25.888809
1011 26.912705
1012 27.904883
1013 29.023090
1014 30.050102
1015 31.128785
1016 32.103528
1017 33.118800
1018 33.990761
1019 34.862702
1020 34.932698
1021 35.000024
1022 35.680514
1023 36.409822
1024 37.116401
1025 37.799795
1026 38.463559
1027 39.106881
1028 39.729520
1029 40.331418
1030 40.915902
1031 41.431684
1032 41.981900
1033 42.522698
1034 43.028838
1035 43.526202
1036 44.006598
1037 44.470378
1038 44.917932
1039 45.349638
1040 45.765878
1041 1.112439
1042 10.816325
1043 15.194153
1044 18.167904
1045 20.462088
1046 22.335697
1047 23.921516
1048 25.302461
1049 26.536116
1050 27.663893
1051 28.683547
1052 29.697961
1053 30.810731
1054 32.201277
1055 33.604447
1056 35.004619
1057 36.366375
1058 37.675690
1059 38.933563
1060 38.975807
1061 39.016803
1062 40.138342
1063 41.206757
1064 42.253745
1065 43.206844
1066 44.100235
1067 44.974088
1068 45.764314
1069 46.501446
1070 47.225547
1071 47.887413
1072 48.535271
1073 49.125746
1074 49.683114
1075 50.226950
1076 50.721209
1077 51.186656
1078 51.639896
1079 52.051131
1080 52.451222
1081 1.202613
1082 9.317573
1083 13.512547
1084 16.371548
1085 18.433931
1086 20.005640
1087 21.259375
1088 22.289976
1089 23.151668
1090 23.882723
1091 24.514926
1092 25.075846
1093 25.598521
1094 26.113363
1095 26.596844
1096 27.055427
1097 27.455106
1098 27.888493
1099 28.336771
1100 28.373634
1101 28.406152
1102 28.763992
1103 29.103676
1104 29.450555
1105 29.745895
1106 30.042420
1107 30.291852
1108 30.540551
1109 30.748319
1110 30.954417
1111 31.125780
1112 31.294926
1113 31.435288
1114 31.573843
1115 31.688672
1116 31.801880
1117 31.895603
1118 31.987918
1119 32.064286
1120 32.139460
1121 1.074728
1122 12.682310
1123 18.275936
1124 21.896291
1125 24.556336
1126 26.683130
1127 28.496432
1128 30.099613
1129 31.542115
1130 32.939950
1131 34.183448
1132 35.396003
1133 36.679726
1134 37.960400
1135 39.215788
1136 40.365086
1137 41.396655
1138 42.312297
1139 43.166064
1140 43.215102
1141 43.259258
1142 43.968626
1143 44.664280
1144 45.345286
1145 46.051901
1146 46.702469
1147 47.331944
1148 47.946738
1149 48.580239
1150 49.156383
1151 49.710829
1152 50.242082
1153 50.783506
1154 51.282195
1155 51.768056
1156 52.240280
1157 52.726057
1158 53.167408
1159 53.593466
1160 54.031587
# show asymptotic estimates
birds_inext$AsyEst Assemblage Diversity Observed Estimator s.e. LCL
1 BE10 Species richness 15.000000 17.656604 4.9000060 15.000000
2 BE10 Shannon diversity 4.477834 4.637426 0.4355452 3.783773
3 BE10 Simpson diversity 2.522903 2.537541 0.2397298 2.067679
4 BE11 Species richness 32.000000 40.978723 9.1863880 32.000000
5 BE11 Shannon diversity 15.106089 15.873309 0.9174888 14.075064
6 BE11 Simpson diversity 8.586257 8.743437 0.7604784 7.252926
7 BE12 Species richness 21.000000 21.663477 3.1239160 21.000000
8 BE12 Shannon diversity 12.056420 12.708104 0.8858413 10.971887
9 BE12 Simpson diversity 8.084583 8.369657 0.8690891 6.666274
10 BE13 Species richness 42.000000 54.035178 10.5602784 42.000000
11 BE13 Shannon diversity 23.597320 25.773235 1.5850903 22.666515
12 BE13 Simpson diversity 17.905539 18.866212 1.2951407 16.327782
13 BE14 Species richness 46.000000 59.960674 21.3775341 46.000000
14 BE14 Shannon diversity 24.539775 26.883599 1.5117280 23.920666
15 BE14 Simpson diversity 16.693361 17.465451 1.2862756 14.944397
16 BE15 Species richness 41.000000 52.994540 9.9847964 41.000000
17 BE15 Shannon diversity 29.495851 35.477035 2.6386276 30.305420
18 BE15 Simpson diversity 23.275732 27.152993 2.4553464 22.340603
19 BE16 Species richness 25.000000 26.495690 3.9839711 25.000000
20 BE16 Shannon diversity 12.284503 12.775183 0.7454349 11.314158
21 BE16 Simpson diversity 7.426959 7.567114 0.6605059 6.272546
22 BE17 Species richness 31.000000 31.082935 3.6457379 31.000000
23 BE17 Shannon diversity 22.478066 24.240311 1.3646669 21.565613
24 BE17 Simpson diversity 17.691778 19.235398 1.5257720 16.244940
25 BE18 Species richness 47.000000 72.530811 22.2101672 47.000000
26 BE18 Shannon diversity 19.613692 21.717714 1.5446680 18.690220
27 BE18 Simpson diversity 10.576329 10.858120 1.0312699 8.836868
28 BE19 Species richness 37.000000 39.658937 5.0897625 37.000000
29 BE19 Shannon diversity 18.348002 19.482358 1.3235728 16.888203
30 BE19 Simpson diversity 9.926195 10.190623 1.0876967 8.058777
31 BE2 Species richness 32.000000 34.993088 7.1573929 32.000000
32 BE2 Shannon diversity 17.622988 18.391735 0.7535387 16.914826
33 BE2 Simpson diversity 13.375657 13.769197 0.8289231 12.144538
34 BE20 Species richness 20.000000 44.335570 15.2561893 20.000000
35 BE20 Shannon diversity 7.779758 8.839153 1.0356538 6.809309
36 BE20 Simpson diversity 3.955282 4.035871 0.5298062 2.997470
37 BE21 Species richness 35.000000 41.233289 6.1519383 35.000000
38 BE21 Shannon diversity 21.832030 23.108387 1.3226463 20.516048
39 BE21 Simpson diversity 15.823077 16.477912 1.3545126 13.823116
40 BE22 Species richness 23.000000 25.240302 6.3116897 23.000000
41 BE22 Shannon diversity 12.812872 13.553146 0.9511603 11.688906
42 BE22 Simpson diversity 8.494949 8.779817 0.8185272 7.175533
43 BE23 Species richness 21.000000 26.972973 7.1269761 21.000000
44 BE23 Shannon diversity 10.713187 11.393252 0.8698337 9.688409
45 BE23 Simpson diversity 6.764205 6.945357 0.7967920 5.383673
46 BE24 Species richness 20.000000 20.664530 4.0376628 20.000000
47 BE24 Shannon diversity 6.195198 6.407189 0.5189026 5.390159
48 BE24 Simpson diversity 3.026866 3.046722 0.2633270 2.530610
49 BE25 Species richness 29.000000 32.485232 8.0470310 29.000000
50 BE25 Shannon diversity 14.251109 15.343542 1.0475099 13.290461
51 BE25 Simpson diversity 8.672070 8.963462 0.9365104 7.127935
52 BE26 Species richness 26.000000 28.491803 6.4713889 26.000000
53 BE26 Shannon diversity 10.380759 10.906455 0.8622563 9.216463
54 BE26 Simpson diversity 5.580719 5.666096 0.5847107 4.520084
55 BE27 Species richness 39.000000 55.845833 24.6185532 39.000000
56 BE27 Shannon diversity 18.343938 20.174817 1.3687893 17.492039
57 BE27 Simpson diversity 11.624552 12.035723 1.0338807 10.009354
58 BE28 Species richness 30.000000 35.977528 7.3284784 30.000000
59 BE28 Shannon diversity 17.374372 18.650980 1.3972587 15.912403
60 BE28 Simpson diversity 12.443533 13.002929 1.1416091 10.765417
61 BE29 Species richness 22.000000 22.663923 2.8386476 22.000000
62 BE29 Shannon diversity 13.352550 13.998786 0.8515824 12.329715
63 BE29 Simpson diversity 9.224965 9.549529 0.9398512 7.707455
64 BE3 Species richness 40.000000 44.883333 7.5437188 40.000000
65 BE3 Shannon diversity 27.001927 29.282369 1.4333733 26.473009
66 BE3 Simpson diversity 20.738004 22.235932 1.5099866 19.276413
67 BE30 Species richness 28.000000 43.068139 20.7733633 28.000000
68 BE30 Shannon diversity 11.649885 12.687302 1.0358395 10.657094
69 BE30 Simpson diversity 7.142742 7.312241 0.7517466 5.838844
70 BE4 Species richness 32.000000 44.469880 10.0527983 32.000000
71 BE4 Shannon diversity 20.152640 21.220586 1.1079980 19.048950
72 BE4 Simpson diversity 15.525557 16.090092 0.9628592 14.202922
73 BE5 Species richness 17.000000 19.238693 4.8744372 17.000000
74 BE5 Shannon diversity 5.737908 6.031244 0.5795581 4.895331
75 BE5 Simpson diversity 2.816772 2.842857 0.2739938 2.305839
76 BE6 Species richness 26.000000 36.615385 13.8282559 26.000000
77 BE6 Shannon diversity 11.169507 12.249531 1.2141852 9.869772
78 BE6 Simpson diversity 5.992244 6.140331 0.8416889 4.490651
79 BE7 Species richness 28.000000 34.388148 7.1136520 28.000000
80 BE7 Shannon diversity 7.029619 7.275117 0.5282739 6.239719
81 BE7 Simpson diversity 3.438355 3.453980 0.2572967 2.949688
82 BE8 Species richness 24.000000 25.493151 3.2190267 24.000000
83 BE8 Shannon diversity 12.662098 13.446817 0.9826075 11.520941
84 BE8 Simpson diversity 7.016971 7.216143 0.8498985 5.550372
85 BE9 Species richness 33.000000 48.948387 17.9781179 33.000000
86 BE9 Shannon diversity 19.238117 20.809633 1.2589350 18.342166
87 BE9 Simpson diversity 13.708987 14.297015 1.1700595 12.003740
UCL
1 27.260439
2 5.491079
3 3.007403
4 58.983713
5 17.671554
6 10.233947
7 27.786240
8 14.444321
9 10.073041
10 74.732943
11 28.879955
12 21.404641
13 101.859871
14 29.846531
15 19.986504
16 72.564382
17 40.648650
18 31.965384
19 34.304130
20 14.236209
21 8.861681
22 38.228450
23 26.915009
24 22.225856
25 116.061939
26 24.745207
27 12.879372
28 49.634688
29 22.076513
30 12.322470
31 49.021320
32 19.868644
33 15.393856
34 74.237152
35 10.868997
36 5.074272
37 53.290866
38 25.700726
39 19.132708
40 37.610986
41 15.417386
42 10.384100
43 40.941590
44 13.098095
45 8.507040
46 28.578204
47 7.424220
48 3.562833
49 48.257123
50 17.396624
51 10.798988
52 41.175493
53 12.596446
54 6.812108
55 104.097311
56 22.857594
57 14.062092
58 50.341082
59 21.389557
60 15.240442
61 28.227570
62 15.667856
63 11.391604
64 59.668751
65 32.091730
66 25.195451
67 83.783183
68 14.717510
69 8.785637
70 64.173002
71 23.392223
72 17.977261
73 28.792415
74 7.167157
75 3.379875
76 63.718268
77 14.629290
78 7.790011
79 48.330650
80 8.310515
81 3.958272
82 31.802327
83 15.372692
84 8.881913
85 84.184851
86 23.277100
87 16.590289
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="none") # not all plots sampled equallyError in ggiNEXT.iNEXT(birds_inext, type = 1, facet.var = "none"): invalid facet variable
# get minimum number of individuals from data
min_abund <- min(birds_inext$DataInfo$n)
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, datatype = "abundance", base = "size", level = (min_abund*2),
conf = NULL)Error in data.frame(..., check.names = FALSE): Argumente implizieren unterschiedliche Anzahl Zeilen: 3, 0
birds_estINEXTsizeError in eval(expr, envir, enclos): Objekt 'birds_estINEXTsize' nicht gefunden
# extract species richness
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
sp_rich = birds_estINEXTsize$`q = 0`))Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'x' bei der Methodenauswahl für Funktion 'as.data.frame': Objekt 'birds_estINEXTsize' nicht gefunden
birds_est_sprichError in eval(expr, envir, enclos): Objekt 'birds_est_sprich' nicht gefunden
Statistics!!
Question: Does urbanization have an effect on bird diversity?
We are going to run a model with the number of species as response and urbanization variables as explanatory variables.
Load environmental data
env_cov <- read.csv(here("data","data_berlin","animal_data",
"birds_transects_allenvir_100m.csv") )
head(env_cov) site patch.lu patch.area pop_100m
1 BE10 park and green area 4762.0000 240.2320426
2 BE11 park and green area 22107.5781 41.9517209
3 BE12 park and green area 623.8551 64.4663933
4 BE13 park and green area 700876.6900 0.2617629
5 BE14 brownfield with meadow, shrubs and trees 1119275.5140 0.1640317
6 BE15 farmland 754802.5036 0.2794827
distance_water impervious_surface light noise open_green temp_cooldown
1 887.99534 85.708155200 254.0484 52.66811 0.003755813 -0.4034781
2 182.70408 48.086350720 253.5432 61.36624 0.147960262 -0.5058560
3 846.25954 56.269183550 253.5924 53.33908 0.116351677 -0.4798068
4 89.61534 0.003294742 97.9062 22.78204 0.062367094 -0.7988746
5 849.76658 7.314871159 248.0444 35.69318 0.517760575 -0.6104055
6 1114.94496 3.692755106 238.8065 62.04909 0.692938283 -0.8771918
temp_day temp_night tree_cover
1 21.85441 13.61666 6.983366
2 21.74545 13.03693 22.487329
3 21.33945 12.66102 19.374208
4 28.82046 16.64645 70.116086
5 21.35707 10.84691 36.390875
6 30.88368 14.75161 19.789344
str(env_cov)'data.frame': 29 obs. of 13 variables:
$ site : chr "BE10" "BE11" "BE12" "BE13" ...
$ patch.lu : chr "park and green area" "park and green area" "park and green area" "park and green area" ...
$ patch.area : num 4762 22108 624 700877 1119276 ...
$ pop_100m : num 240.232 41.952 64.466 0.262 0.164 ...
$ distance_water : num 888 182.7 846.3 89.6 849.8 ...
$ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
$ light : num 254 253.5 253.6 97.9 248 ...
$ noise : num 52.7 61.4 53.3 22.8 35.7 ...
$ open_green : num 0.00376 0.14796 0.11635 0.06237 0.51776 ...
$ temp_cooldown : num -0.403 -0.506 -0.48 -0.799 -0.61 ...
$ temp_day : num 21.9 21.7 21.3 28.8 21.4 ...
$ temp_night : num 13.6 13 12.7 16.6 10.8 ...
$ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
summary(env_cov) site patch.lu patch.area pop_100m
Length:29 Length:29 Min. : 624 Min. : 0.000
Class :character Class :character 1st Qu.: 22108 1st Qu.: 3.397
Mode :character Mode :character Median : 332616 Median : 41.952
Mean :1101702 Mean : 69.344
3rd Qu.: 700877 3rd Qu.:118.731
Max. :6995421 Max. :289.615
distance_water impervious_surface light noise
Min. : 89.62 Min. : 0.000 Min. : 97.91 Min. :22.78
1st Qu.: 308.95 1st Qu.: 7.315 1st Qu.:238.81 1st Qu.:50.24
Median : 581.60 Median :48.086 Median :253.54 Median :55.76
Mean : 676.67 Mean :45.063 Mean :234.06 Mean :52.80
3rd Qu.: 894.21 3rd Qu.:69.303 3rd Qu.:254.46 3rd Qu.:60.28
Max. :1616.58 Max. :89.406 Max. :255.00 Max. :65.45
open_green temp_cooldown temp_day temp_night
Min. :0.000000 Min. :-0.9972 Min. :19.27 Min. :10.85
1st Qu.:0.004748 1st Qu.:-0.7463 1st Qu.:21.75 1st Qu.:12.71
Median :0.062367 Median :-0.5619 Median :24.36 Median :13.72
Mean :0.153202 Mean :-0.6014 Mean :24.53 Mean :14.08
3rd Qu.:0.147960 3rd Qu.:-0.4798 3rd Qu.:27.12 3rd Qu.:14.75
Max. :0.998552 Max. :-0.3755 Max. :30.94 Max. :17.48
tree_cover
Min. : 0.1246
1st Qu.:14.9442
Median :24.7570
Mean :30.7382
3rd Qu.:37.6015
Max. :79.3415
We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.
Prepare the data for the model
colnames(env_cov) [1] "site" "patch.lu" "patch.area"
[4] "pop_100m" "distance_water" "impervious_surface"
[7] "light" "noise" "open_green"
[10] "temp_cooldown" "temp_day" "temp_night"
[13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'x' bei der Methodenauswahl für Funktion 'merge': Objekt 'birds_est_sprich' nicht gefunden
#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data,
# c(site, sp_rich, tree_cover, impervious_surface, noise))
my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover',
'impervious_surface', 'noise')]Error in eval(expr, envir, enclos): Objekt 'my_model_data' nicht gefunden
str(my_model_data) # do you also have a chr for sp_rich?Error in str(my_model_data): Objekt 'my_model_data' nicht gefunden
my_model_data$sp_rich <- as.numeric(my_model_data$sp_rich)Error in eval(expr, envir, enclos): Objekt 'my_model_data' nicht gefunden
str(my_model_data)Error in str(my_model_data): Objekt 'my_model_data' nicht gefunden
Define the model
# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
geom_point() +
geom_smooth()Error in ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)): Objekt 'my_model_data' nicht gefunden
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point() +
geom_smooth()Error in ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)): Objekt 'my_model_data' nicht gefunden
ggplot(my_model_data, aes(y = sp_rich, x = noise)) +
geom_point() +
geom_smooth()Error in ggplot(my_model_data, aes(y = sp_rich, x = noise)): Objekt 'my_model_data' nicht gefunden
# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
family = "gaussian",
data = my_model_data)Error in is.data.frame(data): Objekt 'my_model_data' nicht gefunden
# View results of the model
summary(birds_model)Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'object' bei der Methodenauswahl für Funktion 'summary': Objekt 'birds_model' nicht gefunden
# bird diversity decreases with increasing urbanisation
# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point(size=7,alpha=0.5) +
geom_smooth(method = "lm", se = TRUE, col='red') +
xlab('impervious surface')Error in ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)): Objekt 'my_model_data' nicht gefunden
PREDICT the model in Berlin
Load environmental rasters
##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))
#put all environmental rasters together for the prediction
many_rasters <- list(x,x)Error in eval(expr, envir, enclos): Objekt 'x' nicht gefunden
## this works
my_env_stack<- rast(list(tree_raster, imperv_raster, noise_raster))
# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")
# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:
my_env_stack_2 <- my_env_stack/100 # correct values of the rastersPredict the model
sp_rich_pred <- terra::predict(object = my_env_stack_2,
model = birds_model)Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'object' bei der Methodenauswahl für Funktion 'predict': Objekt 'birds_model' nicht gefunden
sp_rich_predError in eval(expr, envir, enclos): Objekt 'sp_rich_pred' nicht gefunden
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0Error in sp_rich_pred[sp_rich_pred < 0] <- 0: Objekt 'sp_rich_pred' nicht gefunden
# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")
# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'x' bei der Methodenauswahl für Funktion 'plot': Objekt 'sp_rich_pred' nicht gefunden
plot(water_raster, col = "darkslategray1", legend=FALSE, add = TRUE)Error in graphics::rasterImage(x$r, x$ext[1], x$ext[3], x$ext[2], x$ext[4], : plot.new has not been called yet
# writeRaster(sp_rich_pred, my_output_directory)EXTRA INFO
In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions
ChaoRichness()for q = 0ChaoShannon()for q = 1EstSimpson()for q = 2
For example, to estimate the species richness
ChaoRichness(spider, datatype = "abundance") Observed Estimator Est_s.e. 95% Lower 95% Upper
Girdled 26 43.893 14.306 30.511 96.971
Logged 37 61.403 18.532 43.502 128.583
Exercise
Some exercises.
###
## Diversity Analysis Exercise
# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it
# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values
# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3)
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites)
## 4.3. Compare the output of both beta-diversity metricsSession Info
Sys.time()[1] "2023-02-22 10:42:00 CET"
#git2r::repository() ## uncomment if you are using GitHub
sessionInfo()R version 4.2.2 (2022-10-31 ucrt)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 19044)
Matrix products: default
locale:
[1] LC_COLLATE=German_Germany.utf8 LC_CTYPE=German_Germany.utf8
[3] LC_MONETARY=German_Germany.utf8 LC_NUMERIC=C
[5] LC_TIME=C
attached base packages:
[1] stats4 stats graphics grDevices utils datasets methods
[8] base
other attached packages:
[1] here_1.0.1 terra_1.6-41 forcats_0.5.2 stringr_1.4.1
[5] dplyr_1.0.10 purrr_0.3.5 readr_2.1.3 tidyr_1.2.1
[9] tibble_3.1.8 ggplot2_3.4.0 tidyverse_1.3.2 sads_0.4.2
[13] bbmle_1.0.25 iNEXT_3.0.0 vegan_2.6-4 lattice_0.20-45
[17] permute_0.9-7 knitr_1.41
loaded via a namespace (and not attached):
[1] nlme_3.1-160 fs_1.5.2 lubridate_1.9.0
[4] httr_1.4.4 rprojroot_2.0.3 GUILDS_1.4.5
[7] numDeriv_2016.8-1.1 tools_4.2.2 backports_1.4.1
[10] bslib_0.4.1 utf8_1.2.2 R6_2.5.1
[13] DBI_1.1.3 mgcv_1.8-41 colorspace_2.0-3
[16] withr_2.5.0 tidyselect_1.2.0 compiler_4.2.2
[19] rvest_1.0.3 textshaping_0.3.6 cli_3.4.1
[22] xml2_1.3.3 labeling_0.4.2 bookdown_0.30
[25] sass_0.4.4 scales_1.2.1 mvtnorm_1.1-3
[28] systemfonts_1.0.4 digest_0.6.30 rmarkdown_2.18
[31] pkgconfig_2.0.3 htmltools_0.5.3 highr_0.9
[34] dbplyr_2.2.1 fastmap_1.1.0 rlang_1.0.6
[37] readxl_1.4.1 rstudioapi_0.14 VGAM_1.1-7
[40] farver_2.1.1 jquerylib_0.1.4 generics_0.1.3
[43] jsonlite_1.8.4 googlesheets4_1.0.1 magrittr_2.0.3
[46] Matrix_1.5-1 Rcpp_1.0.9 munsell_0.5.0
[49] fansi_1.0.3 lifecycle_1.0.3 stringi_1.7.8
[52] yaml_2.3.6 MASS_7.3-58.1 plyr_1.8.8
[55] grid_4.2.2 parallel_4.2.2 crayon_1.5.2
[58] bdsmatrix_1.3-6 haven_2.5.1 splines_4.2.2
[61] hms_1.1.2 pillar_1.8.1 codetools_0.2-18
[64] reshape2_1.4.4 reprex_2.0.2 glue_1.6.2
[67] evaluate_0.18 modelr_0.1.10 vctrs_0.5.1
[70] rmdformats_1.0.4 tzdb_0.3.0 cellranger_1.1.0
[73] gtable_0.3.1 assertthat_0.2.1 cachem_1.0.6
[76] xfun_0.35 broom_1.0.1 ragg_1.2.4
[79] googledrive_2.0.0 gargle_1.2.1 poilog_0.4.2
[82] cluster_2.1.4 timechange_0.1.1 ellipsis_0.3.2